Lang, Annika; Motschan-Armen, Ioanna Euler-Maruyama approximations of the stochastic heat equation on the sphere. (English) Zbl 07807505 J. Comput. Dyn. 11, No. 1, 23-42 (2024). MSC: 60H35 65C30 60H15 35R60 33C55 65M70 PDFBibTeX XMLCite \textit{A. Lang} and \textit{I. Motschan-Armen}, J. Comput. Dyn. 11, No. 1, 23--42 (2024; Zbl 07807505) Full Text: DOI arXiv
Zhang, Wen; Wu, Changxing; Ruan, Zhousheng; Qiu, Shufang A Jacobi spectral method for calculating fractional derivative based on mollification regularization. (English) Zbl 07799932 Asymptotic Anal. 136, No. 1, 61-77 (2024). MSC: 65M70 65M12 65M15 65D32 33C45 35B65 26A33 35R11 34A08 34B24 35R60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Asymptotic Anal. 136, No. 1, 61--77 (2024; Zbl 07799932) Full Text: DOI
Barary, Zeinab; Cherati, AllahBakhsh Yazdani; Nemati, Somayeh An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions. (English) Zbl 07784256 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024). MSC: 65N35 65N15 41A50 33C45 65F05 74F10 74K20 35Q74 35R11 PDFBibTeX XMLCite \textit{Z. Barary} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024; Zbl 07784256) Full Text: DOI
Trogdon, Thomas The ultraspherical rectangular collocation method and its convergence. arXiv:2401.03608 Preprint, arXiv:2401.03608 [math.NA] (2024). MSC: 65M70 65L10 33C45 BibTeX Cite \textit{T. Trogdon}, ``The ultraspherical rectangular collocation method and its convergence'', Preprint, arXiv:2401.03608 [math.NA] (2024) Full Text: arXiv OA License
Akinnukawe, B. I.; Odekunle, M. R. Block bi-basis collocation method for direct approximation of fourth-order IVP. (English) Zbl 07815839 J. Niger. Math. Soc. 42, No. 1, 1-18 (2023). MSC: 65L05 65L06 33F05 PDFBibTeX XMLCite \textit{B. I. Akinnukawe} and \textit{M. R. Odekunle}, J. Niger. Math. Soc. 42, No. 1, 1--18 (2023; Zbl 07815839) Full Text: Link
Gu, Dong-Qin; Wang, Zhong-Qing; Zhang, Chao New rational interpolation basis functions on the unbounded intervals and their applications. (English) Zbl 07814764 Numer. Math., Theory Methods Appl. 16, No. 2, 453-488 (2023). MSC: 65M70 33C45 30C15 65N35 41A05 PDFBibTeX XMLCite \textit{D.-Q. Gu} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 453--488 (2023; Zbl 07814764) Full Text: DOI
Apushkinskiy, E. G.; Kozhevnikov, V. A.; Biryukov, A. V. Comparison of approximate and numerical methods for solving the homogeneous Dirichlet problem for the Helmholtz operator in a two-dimensional domain. (English) Zbl 07792264 Lobachevskii J. Math. 44, No. 9, 3989-3997 (2023). MSC: 65N35 65N30 65N06 35J05 35J25 35B38 33C10 78A60 35Q60 PDFBibTeX XMLCite \textit{E. G. Apushkinskiy} et al., Lobachevskii J. Math. 44, No. 9, 3989--3997 (2023; Zbl 07792264) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah An accurate numerical algorithm to investigate the solution of fractal-fractional partial differential equations. (English) Zbl 07784573 Rocky Mt. J. Math. 53, No. 6, 1767-1788 (2023). MSC: 65M70 65M99 65M15 33C10 26A33 28A80 35R11 92D30 92C60 35Q92 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Rocky Mt. J. Math. 53, No. 6, 1767--1788 (2023; Zbl 07784573) Full Text: DOI Link
Ait-Haddou, Rachid; Alselami, Hoda The Stenger conjectures and the \(A\)-stability of collocation Runge-Kutta methods. (English) Zbl 07781464 J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023). MSC: 65L06 65L20 33C45 PDFBibTeX XMLCite \textit{R. Ait-Haddou} and \textit{H. Alselami}, J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023; Zbl 07781464) Full Text: DOI
Sadri, Khadijeh; Hosseini, Kamyar; Hinçal, Evren; Baleanu, Dumitru; Salahshour, Soheil A pseudo-operational collocation method for variable-order time-space fractional KdV-Burgers-Kuramoto equation. (English) Zbl 07780238 Math. Methods Appl. Sci. 46, No. 8, 8759-8778 (2023). MSC: 65M70 33C45 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{K. Sadri} et al., Math. Methods Appl. Sci. 46, No. 8, 8759--8778 (2023; Zbl 07780238) Full Text: DOI
Ahmed, Hoda F.; Melad, Marina B. A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order. (English) Zbl 1527.65051 Math. Sci., Springer 17, No. 4, 399-413 (2023). MSC: 65L03 33C45 65L60 PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{M. B. Melad}, Math. Sci., Springer 17, No. 4, 399--413 (2023; Zbl 1527.65051) Full Text: DOI OA License
Abd-Elhameed, W. M.; Ali, Afnan; Youssri, Y. H. Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher’s equation. (English) Zbl 07764941 J. Funct. Spaces 2023, Article ID 6833404, 16 p. (2023). MSC: 65M70 33C45 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., J. Funct. Spaces 2023, Article ID 6833404, 16 p. (2023; Zbl 07764941) Full Text: DOI
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 07754853 SIAM J. Numer. Anal. 61, No. 5, 2305-2326 (2023). MSC: 65M70 65M06 65N35 65D30 65D32 65M12 65M15 35K55 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 5, 2305--2326 (2023; Zbl 07754853) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Hamid, M.; Usman, M.; Tian, Zhenfu Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows. (English) Zbl 1515.33009 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669-692 (2023). MSC: 33C45 35K57 65M70 76W05 PDFBibTeX XMLCite \textit{M. Hamid} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669--692 (2023; Zbl 1515.33009) Full Text: DOI
Li, X. Y.; Liu, X. Y. A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative. (English) Zbl 1527.65056 Appl. Math. Lett. 142, Article ID 108636, 6 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65L10 34A08 33E12 65L60 PDFBibTeX XMLCite \textit{X. Y. Li} and \textit{X. Y. Liu}, Appl. Math. Lett. 142, Article ID 108636, 6 p. (2023; Zbl 1527.65056) Full Text: DOI
Kaplan, Ayse Gul; Ablay, Mulla Veli Numerical solution of boundary value problem for the Bagley-Torvik equation using Hermite collocation method. (English) Zbl 1514.65094 Ann. Math. Sci. Appl. 8, No. 1, 157-173 (2023). MSC: 65L60 33C45 34A08 34B05 65L10 PDFBibTeX XMLCite \textit{A. G. Kaplan} and \textit{M. V. Ablay}, Ann. Math. Sci. Appl. 8, No. 1, 157--173 (2023; Zbl 1514.65094) Full Text: DOI
Wang, Chuan; Wang, Tian-jun A multi-domain Galerkin method with numerical integration for the Burgers equation. (English) Zbl 1524.65688 Int. J. Comput. Math. 100, No. 5, 927-947 (2023). MSC: 65M70 41A30 35K55 35Q35 65M60 65D05 33C45 42C10 65M06 65N35 65N30 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T.-j. Wang}, Int. J. Comput. Math. 100, No. 5, 927--947 (2023; Zbl 1524.65688) Full Text: DOI
Ross, I. M.; Proulx, R. J.; Borges, C. F. A universal Birkhoff pseudospectral method for solving boundary value problems. (English) Zbl 07704188 Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023). MSC: 41A05 33C45 65L10 65N35 41A10 PDFBibTeX XMLCite \textit{I. M. Ross} et al., Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023; Zbl 07704188) Full Text: DOI
Ling, Dan; Mao, Zhiping Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. (English) Zbl 1516.65107 J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 35A01 35A02 35B65 33C45 86A15 35Q86 PDFBibTeX XMLCite \textit{D. Ling} and \textit{Z. Mao}, J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023; Zbl 1516.65107) Full Text: DOI arXiv
Zhang, Juan; Song, Jiabin; Chen, Huanzhen A priori error estimates for spectral Galerkin approximations of integral state-constrained fractional optimal control problems. (English) Zbl 1524.65902 Adv. Appl. Math. Mech. 15, No. 3, 568-582 (2023). MSC: 65N35 65N15 49J20 35R11 26A33 33C45 65K10 49K20 65N30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 3, 568--582 (2023; Zbl 1524.65902) Full Text: DOI
Vasconcelos, P. B.; Roman, J. E.; Matos, J. M. A. Solving differential eigenproblems via the spectral Tau method. (English) Zbl 07676502 Numer. Algorithms 92, No. 3, 1789-1811 (2023). MSC: 65L15 65L60 65F15 33C45 34B24 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Numer. Algorithms 92, No. 3, 1789--1811 (2023; Zbl 07676502) Full Text: DOI
Chen, Sheng; Shen, Jie Log orthogonal functions in semi-infinite intervals: approximation results and applications. (English) Zbl 1512.65278 SIAM J. Numer. Anal. 61, No. 1, 110-134 (2023). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 33C45 PDFBibTeX XMLCite \textit{S. Chen} and \textit{J. Shen}, SIAM J. Numer. Anal. 61, No. 1, 110--134 (2023; Zbl 1512.65278) Full Text: DOI
Youssri, Youssri Hassan; Sayed, Shahenda; Mohamed, Amany Saad; Aboeldahab, Emad; Abd-Elhameed, Waleed Mohamed Modified Lucas polynomials for the numerical treatment of second-order boundary value problems. (English) Zbl 1524.65692 Comput. Methods Differ. Equ. 11, No. 1, 12-31 (2023). MSC: 65M70 35L10 33C45 65M12 80A25 35Q79 65M60 65L60 11B39 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., Comput. Methods Differ. Equ. 11, No. 1, 12--31 (2023; Zbl 1524.65692) Full Text: DOI
Yüzbaşi, Şuayip; Yildirim, Gamze Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays. (English) Zbl 07662832 Turk. J. Math. 47, No. 1, 37-55 (2023). MSC: 65-XX 33C47 34A34 65L05 65L60 65L70 65Q20 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{G. Yildirim}, Turk. J. Math. 47, No. 1, 37--55 (2023; Zbl 07662832) Full Text: DOI
Fasondini, Marco; Olver, Sheehan; Xu, Yuan Orthogonal polynomials on planar cubic curves. (English) Zbl 1523.33005 Found. Comput. Math. 23, No. 1, 1-31 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C50 42C05 42C10 65M70 PDFBibTeX XMLCite \textit{M. Fasondini} et al., Found. Comput. Math. 23, No. 1, 1--31 (2023; Zbl 1523.33005) Full Text: DOI arXiv
Ahmed, Hoda F.; Hashem, W. A. Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107062, 16 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{W. A. Hashem}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107062, 16 p. (2023; Zbl 1508.65138) Full Text: DOI
Faheem, Mo; Khan, Arshad A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140 Appl. Numer. Math. 184, 197-218 (2023). Reviewer: Dana Černá (Liberec) MSC: 65M70 65T60 65M12 44A10 35R09 45K05 45E10 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{M. Faheem} and \textit{A. Khan}, Appl. Numer. Math. 184, 197--218 (2023; Zbl 1508.65140) Full Text: DOI
Chou, Tom; Shao, Sihong; Xia, Mingtao Adaptive Hermite spectral methods in unbounded domains. (English) Zbl 1500.65083 Appl. Numer. Math. 183, 201-220 (2023). MSC: 65M70 65M50 65D32 65M15 41A58 33C45 35P05 PDFBibTeX XMLCite \textit{T. Chou} et al., Appl. Numer. Math. 183, 201--220 (2023; Zbl 1500.65083) Full Text: DOI arXiv
Papadopoulos, Ioannis P. A.; Gutleb, Timon S.; Slevinsky, Richard M.; Olver, Sheehan Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli. arXiv:2310.07541 Preprint, arXiv:2310.07541 [math.NA] (2023). MSC: 33C45 33C50 65D05 65N35 BibTeX Cite \textit{I. P. A. Papadopoulos} et al., ``Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli'', Preprint, arXiv:2310.07541 [math.NA] (2023) Full Text: arXiv OA License
Wu, Hao-Ning; Yuan, Xiaoming Breaking quadrature exactness: A spectral method for the Allen–Cahn equation on spheres. arXiv:2305.04820 Preprint, arXiv:2305.04820 [math.NA] (2023). MSC: 65M70 65D32 35B50 58J35 33C55 BibTeX Cite \textit{H.-N. Wu} and \textit{X. Yuan}, ``Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres'', Preprint, arXiv:2305.04820 [math.NA] (2023) Full Text: arXiv OA License
Mohammadi, F.; Hassani, H. Numerical solution of time-fractional telegraph equation by using a new class of orthogonal polynomials. (English) Zbl 07801821 Bol. Soc. Parana. Mat. (3) 40, Paper No. 33, 13 p. (2022). MSC: 35R11 33C47 65M70 PDFBibTeX XMLCite \textit{F. Mohammadi} and \textit{H. Hassani}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 33, 13 p. (2022; Zbl 07801821) Full Text: DOI
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 07778306 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Z. Zhou}, Numer. Methods Partial Differ. Equations 38, No. 5, 1526--1542 (2022; Zbl 07778306) Full Text: DOI
Usman, Muhammad; Hamid, Muhammad; Liu, Moubin Higher-order algorithms for stable solutions of fractional time-dependent nonlinear telegraph equations in space. (English) Zbl 07778297 Numer. Methods Partial Differ. Equations 38, No. 5, 1293-1318 (2022). MSC: 65M70 65M06 65N06 65M12 65M15 33C45 35A21 26A33 35R11 PDFBibTeX XMLCite \textit{M. Usman} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1293--1318 (2022; Zbl 07778297) Full Text: DOI
Zubair, Tamour; Usman, Muhammad A semi-relativistic time-fractional Vlasov-Maxwell code for numerical simulation based on circular polarization and Landau damping instability. (English) Zbl 07778280 Numer. Methods Partial Differ. Equations 38, No. 4, 947-969 (2022). MSC: 65M06 65N35 65M12 78A35 78A60 33C45 82D10 26A33 35R11 35Q83 35Q60 PDFBibTeX XMLCite \textit{T. Zubair} and \textit{M. Usman}, Numer. Methods Partial Differ. Equations 38, No. 4, 947--969 (2022; Zbl 07778280) Full Text: DOI
Srinivasa, Kumbinarasaiah; Rezazadeh, Hadi; Adel, Waleed An effective numerical simulation for solving a class of Fokker-Planck equations using Laguerre wavelet method. (English) Zbl 1527.65066 Math. Methods Appl. Sci. 45, No. 11, 6824-6843 (2022). MSC: 65L60 33C45 65T60 PDFBibTeX XMLCite \textit{K. Srinivasa} et al., Math. Methods Appl. Sci. 45, No. 11, 6824--6843 (2022; Zbl 1527.65066) Full Text: DOI
Abd-Elhameed, Waleed M.; Machado, José A. Tenreiro; Youssri, Youssri H. Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. (English) Zbl 07678011 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7-8, 1253-1268 (2022). MSC: 11B83 33C45 34A08 34K06 65M70 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7--8, 1253--1268 (2022; Zbl 07678011) Full Text: DOI
Li, Huiyuan; Liu, Ruiqing; Wang, Li-Lian Efficient Hermite spectral-Galerkin methods for nonlocal diffusion equations in unbounded domains. (English) Zbl 1524.65665 Numer. Math., Theory Methods Appl. 15, No. 4, 1009-1040 (2022). MSC: 65M70 65N35 65N25 33C45 65M06 PDFBibTeX XMLCite \textit{H. Li} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 1009--1040 (2022; Zbl 1524.65665) Full Text: DOI
Tian, Liutao; Jiao, Yujian Modified Legendre rational spectral method for Burgers equation on the whole line. (English) Zbl 07663591 J. Math. Study 55, No. 4, 415-431 (2022). MSC: 65M70 41A30 76M22 33C45 65M12 PDFBibTeX XMLCite \textit{L. Tian} and \textit{Y. Jiao}, J. Math. Study 55, No. 4, 415--431 (2022; Zbl 07663591) Full Text: DOI
Hafez, R. M.; Youssri, Y. H. Shifted Gegenbauer-Gauss collocation method for solving fractional neutral functional-differential equations with proportional delays. (English) Zbl 07661735 Kragujevac J. Math. 46, No. 6, 981-996 (2022). MSC: 65-XX 34K40 33C45 34K37 65L03 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Kragujevac J. Math. 46, No. 6, 981--996 (2022; Zbl 07661735) Full Text: DOI Link
Çayan, Seda; Özhan, B. Burak; Sezer, Mehmet An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models. (English) Zbl 1513.65480 Comput. Appl. Math. 41, No. 8, Paper No. 408, 17 p. (2022). MSC: 65N35 35Q74 74K20 33C45 41A58 PDFBibTeX XMLCite \textit{S. Çayan} et al., Comput. Appl. Math. 41, No. 8, Paper No. 408, 17 p. (2022; Zbl 1513.65480) Full Text: DOI
Guo, Shimin; Yan, Wenjing; Li, Can; Mei, Liquan Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains. (English) Zbl 1503.65262 J. Sci. Comput. 93, No. 2, Paper No. 53, 34 p. (2022). MSC: 65M70 65M60 65M06 65N35 65N30 65D32 35C08 33C10 35Q53 26A33 35R11 PDFBibTeX XMLCite \textit{S. Guo} et al., J. Sci. Comput. 93, No. 2, Paper No. 53, 34 p. (2022; Zbl 1503.65262) Full Text: DOI
Izadi, Mohammad A computational algorithm for simulating fractional order relaxation-oscillation equation. (English) Zbl 1518.65074 S\(\vec{\text{e}}\)MA J. 79, No. 4, 647-661 (2022). MSC: 65L03 65L60 34A08 26A33 33F05 34C26 PDFBibTeX XMLCite \textit{M. Izadi}, S\(\vec{\text{e}}\)MA J. 79, No. 4, 647--661 (2022; Zbl 1518.65074) Full Text: DOI
Mittal, A. K. A spectrally accurate time-space pseudospectral method for reaction-diffusion malaria infection model. (English) Zbl 1513.65413 Comput. Appl. Math. 41, No. 8, Paper No. 390, 21 p. (2022). MSC: 65M70 65M15 35C11 33C45 92D30 92C37 35Q92 PDFBibTeX XMLCite \textit{A. K. Mittal}, Comput. Appl. Math. 41, No. 8, Paper No. 390, 21 p. (2022; Zbl 1513.65413) Full Text: DOI
Atta, A. G.; Youssri, Y. H. Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398 Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022). MSC: 65M70 65M15 45K05 33C45 35R09 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{A. G. Atta} and \textit{Y. H. Youssri}, Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022; Zbl 1513.65398) Full Text: DOI
Eremin, Yu. A.; Lopushenko, V. V. The effect of spatial dispersion on the field enhancement factor of magnetoplasmonic nanoparticles. (English. Russian original) Zbl 1504.78015 Comput. Math. Model. 33, No. 1, 32-40 (2022); translation from Prikl. Mat. Inf. 69, 36-45 (2022). MSC: 78A60 81V80 78A45 78A25 35J05 35B34 35A02 33C10 82D80 65M70 35Q60 PDFBibTeX XMLCite \textit{Yu. A. Eremin} and \textit{V. V. Lopushenko}, Comput. Math. Model. 33, No. 1, 32--40 (2022; Zbl 1504.78015); translation from Prikl. Mat. Inf. 69, 36--45 (2022) Full Text: DOI
Abo-Gabal, Howayda; Zaky, Mahmoud A.; Doha, Eid H. Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions. (English) Zbl 1500.65080 Appl. Numer. Math. 182, 214-234 (2022). MSC: 65M70 65D32 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. Abo-Gabal} et al., Appl. Numer. Math. 182, 214--234 (2022; Zbl 1500.65080) Full Text: DOI
El-Gindy, Taha M.; Ahmed, Hoda F.; Melad, Marina B. Effective numerical technique for solving variable order integro-differential equations. (English) Zbl 1496.65177 J. Appl. Math. Comput. 68, No. 4, 2823-2855 (2022). MSC: 65M70 33C45 34A08 45J05 65R20 PDFBibTeX XMLCite \textit{T. M. El-Gindy} et al., J. Appl. Math. Comput. 68, No. 4, 2823--2855 (2022; Zbl 1496.65177) Full Text: DOI
Zhang, Yuhui; Rabczuk, Timon; Lu, Jun; Lin, Shifa; Lin, Ji Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials. (English) Zbl 1524.65696 Comput. Math. Appl. 124, 98-110 (2022). MSC: 65M70 74F05 65M06 80M22 80M20 65D05 65D12 33B10 80A19 35K05 35Q79 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 124, 98--110 (2022; Zbl 1524.65696) Full Text: DOI
Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Robust shifted Jacobi-Galerkin method for solving linear hyperbolic telegraph type equation. (English) Zbl 1495.65181 Palest. J. Math. 11, No. 3, 504-518 (2022). MSC: 65M70 33C45 35L10 65M12 PDFBibTeX XMLCite \textit{H. Ashry} et al., Palest. J. Math. 11, No. 3, 504--518 (2022; Zbl 1495.65181) Full Text: Link
Darvishi, H.; Kerayechian, A.; Gachpazan, M. Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain. (English) Zbl 1496.65175 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022). MSC: 65M70 65M60 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. Darvishi} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022; Zbl 1496.65175) Full Text: DOI
Ali, Mushtaq; Almoaeet, Mohammed; Albuohimad, Basim Karim Numerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivative. (English) Zbl 1513.65333 Arab J. Math. Sci. 28, No. 2, 168-183 (2022). MSC: 65M20 65N35 65N22 35R11 26A33 33C45 65D32 65L05 PDFBibTeX XMLCite \textit{M. Ali} et al., Arab J. Math. Sci. 28, No. 2, 168--183 (2022; Zbl 1513.65333) Full Text: DOI
Rashedi, Kamal A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation. (English) Zbl 1513.65339 Comput. Appl. Math. 41, No. 5, Paper No. 214, 32 p. (2022). MSC: 65M32 65M70 65N35 65M30 35R25 35R30 33C45 35Q53 65H10 PDFBibTeX XMLCite \textit{K. Rashedi}, Comput. Appl. Math. 41, No. 5, Paper No. 214, 32 p. (2022; Zbl 1513.65339) Full Text: DOI
Mohamed, Amany Saad Shifted Jacobi collocation method for Volterra-Fredholm integral equation. (English) Zbl 1499.65761 Comput. Methods Differ. Equ. 10, No. 2, 408-418 (2022). MSC: 65R20 65M70 33C45 41A25 PDFBibTeX XMLCite \textit{A. S. Mohamed}, Comput. Methods Differ. Equ. 10, No. 2, 408--418 (2022; Zbl 1499.65761) Full Text: DOI
Kumari, Archna; Kukreja, V. K. Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation. (English) Zbl 1499.65562 Int. J. Comput. Math. 99, No. 5, 909-923 (2022). MSC: 65M70 65M06 65N35 33C45 92C20 35Q92 92-08 PDFBibTeX XMLCite \textit{A. Kumari} and \textit{V. K. Kukreja}, Int. J. Comput. Math. 99, No. 5, 909--923 (2022; Zbl 1499.65562) Full Text: DOI
Li, Shan; Wu, Jinju; Wang, Zhongqing Sobolev orthogonal Legendre rational spectral methods for exterior problems. (English) Zbl 1499.65701 Int. J. Comput. Math. 99, No. 2, 370-390 (2022). MSC: 65N35 41A20 33C45 35J25 35K10 PDFBibTeX XMLCite \textit{S. Li} et al., Int. J. Comput. Math. 99, No. 2, 370--390 (2022; Zbl 1499.65701) Full Text: DOI
Wang, Tian-jun; Chai, Guo A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1484.65275 Appl. Numer. Math. 174, 17-33 (2022). MSC: 65M70 65M06 65N35 65M12 33C45 82C31 65M15 PDFBibTeX XMLCite \textit{T.-j. Wang} and \textit{G. Chai}, Appl. Numer. Math. 174, 17--33 (2022; Zbl 1484.65275) Full Text: DOI
Vismara, Federico; Benacchio, Tommaso; Bonaventura, Luca A seamless, extended DG approach for advection-diffusion problems on unbounded domains. (English) Zbl 1478.65091 J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022). MSC: 65M60 65M06 65N30 65M70 65D32 33C55 76M10 76M22 35Q35 PDFBibTeX XMLCite \textit{F. Vismara} et al., J. Sci. Comput. 90, No. 1, Paper No. 5, 27 p. (2022; Zbl 1478.65091) Full Text: DOI arXiv
Heydari, M. H.; Razzaghi, M. Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. (English) Zbl 1524.65654 J. Comput. Appl. Math. 402, Article ID 113813, 12 p. (2022). MSC: 65M70 26A33 35R11 34A08 65M12 65D32 33C45 76A20 76B45 35Q35 35Q53 35B36 65M15 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{M. Razzaghi}, J. Comput. Appl. Math. 402, Article ID 113813, 12 p. (2022; Zbl 1524.65654) Full Text: DOI
Huang, Shenghe; Yu, Haijun Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability. arXiv:2212.13255 Preprint, arXiv:2212.13255 [math.NA] (2022). MSC: 65N35 65D32 65G50 33F05 BibTeX Cite \textit{S. Huang} and \textit{H. Yu}, ``Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability'', Preprint, arXiv:2212.13255 [math.NA] (2022) Full Text: arXiv OA License
Kong, Desong; Shen, Jie; Wang, Li-Lian; Xiang, Shuhuang Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. arXiv:2211.10599 Preprint, arXiv:2211.10599 [math.NA] (2022). MSC: 65M70 65L15 65F15 33C45 BibTeX Cite \textit{D. Kong} et al., ``Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems'', Preprint, arXiv:2211.10599 [math.NA] (2022) Full Text: arXiv OA License
Corrigan, Abby; Shertzer, Janine 1D potential wells of the form \(V(|x| < a) = -V_o\left(1-\frac{|x|^n}{a^n}\right)\). (English) Zbl 1523.81066 Eur. J. Phys. 42, No. 3, Article ID 035404, 10 p. (2021). MSC: 81Q05 34L40 57R67 65L60 33C10 35P15 41A58 PDFBibTeX XMLCite \textit{A. Corrigan} and \textit{J. Shertzer}, Eur. J. Phys. 42, No. 3, Article ID 035404, 10 p. (2021; Zbl 1523.81066) Full Text: DOI
Izadi, Mohammad Numerical approximation of Hunter-Saxton equation by an efficient accurate approach on long time domains. (English) Zbl 1513.65407 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 83, No. 1, 291-300 (2021). MSC: 65M70 65M06 65N35 33C10 41A58 76A15 35Q35 PDFBibTeX XMLCite \textit{M. Izadi}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 83, No. 1, 291--300 (2021; Zbl 1513.65407) Full Text: Link
Xu, Minqiang; Tohidi, Emran A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems. (English) Zbl 1487.65108 J. Appl. Math. Comput. 67, No. 1-2, 405-421 (2021). MSC: 65L60 65L10 34B15 34A45 33C45 46E22 PDFBibTeX XMLCite \textit{M. Xu} and \textit{E. Tohidi}, J. Appl. Math. Comput. 67, No. 1--2, 405--421 (2021; Zbl 1487.65108) Full Text: DOI
Bambe Moutsinga, Claude Rodrigue; Pindza, Edson; Maré, Eben Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems. (English) Zbl 1498.91491 Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021). MSC: 91G60 65M70 33C45 44A15 45K05 65M12 91G80 PDFBibTeX XMLCite \textit{C. R. Bambe Moutsinga} et al., Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021; Zbl 1498.91491) Full Text: DOI
Sweilam, Nasser Hassan; El-Sayed, Adel Abd Elaziz; Boulaaras, Salah Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique. (English) Zbl 1498.65175 Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021). MSC: 65M70 33C47 42A10 35R11 65M12 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021; Zbl 1498.65175) Full Text: DOI
Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Spectral treatment of one and two dimensional second-order BVPs via certain modified shifted Chebyshev polynomials. (English) Zbl 1499.65344 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 248, 21 p. (2021). MSC: 65L60 33C45 34A30 42A10 PDFBibTeX XMLCite \textit{H. Ashry} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 248, 21 p. (2021; Zbl 1499.65344) Full Text: DOI
Zeghdane, Rebiha Numerical approach for solving nonlinear stochastic Itô-Volterra integral equations using shifted Legendre polynomials. (English) Zbl 1482.65014 Int. J. Dyn. Syst. Differ. Equ. 11, No. 1, 69-88 (2021). MSC: 65C30 65R20 45D05 45R05 33C45 PDFBibTeX XMLCite \textit{R. Zeghdane}, Int. J. Dyn. Syst. Differ. Equ. 11, No. 1, 69--88 (2021; Zbl 1482.65014) Full Text: DOI
Zhang, Chao; Tao, Dongya; Ding, Pan Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions. (English) Zbl 1501.65083 Int. J. Comput. Math. 98, No. 10, 2040-2059 (2021). MSC: 65M70 33C45 PDFBibTeX XMLCite \textit{C. Zhang} et al., Int. J. Comput. Math. 98, No. 10, 2040--2059 (2021; Zbl 1501.65083) Full Text: DOI
Sheng, Changtao; Ma, Suna; Li, Huiyuan; Wang, Li-Lian; Jia, Lueling Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. (English) Zbl 1486.65209 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2141-2168 (2021). MSC: 65M70 65M06 65N35 65N25 35Q40 33C45 26A33 35R11 81Q05 PDFBibTeX XMLCite \textit{C. Sheng} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2141--2168 (2021; Zbl 1486.65209) Full Text: DOI arXiv
Wang, Chenchen; Li, Tingting; Jiao, Yujian A spectral method for Burgers equation using Jacobi polynomial. (English) Zbl 1488.65520 J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 291-300 (2021). MSC: 65M70 33C45 35Q53 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Shanghai Norm. Univ., Nat. Sci. 50, No. 3, 291--300 (2021; Zbl 1488.65520) Full Text: DOI
Khader, M. M.; Saad, Khaled M. Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers’ and Burgers’ equations. (English) Zbl 1490.65223 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 67-77 (2021). MSC: 65M70 33C45 35Q53 65M12 PDFBibTeX XMLCite \textit{M. M. Khader} and \textit{K. M. Saad}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 67--77 (2021; Zbl 1490.65223) Full Text: DOI
Abdelkawy, M. A.; Ezz-Eldien, S. S.; Biswas, A.; Alzahrani, A. Kamis; Belic, M. R. Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053 Comput. Math. Math. Phys. 61, No. 9, 1432-1443 (2021). MSC: 78A60 35Q55 35Q41 35C08 78M22 65M70 65N35 33C45 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Comput. Math. Math. Phys. 61, No. 9, 1432--1443 (2021; Zbl 1478.78053) Full Text: DOI
Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hendy, Ahmed S.; Doha, Eid H. Computational aspects of fractional Romanovski-Bessel functions. (English) Zbl 1476.33005 Comput. Appl. Math. 40, No. 4, Paper No. 134, 16 p. (2021). MSC: 33C45 65L60 41Axx 94A11 PDFBibTeX XMLCite \textit{H. Abo-Gabal} et al., Comput. Appl. Math. 40, No. 4, Paper No. 134, 16 p. (2021; Zbl 1476.33005) Full Text: DOI
Nagy, A. M.; El-Sayed, A. A. A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order. (English) Zbl 1476.65133 Comput. Appl. Math. 40, No. 3, Paper No. 85, 13 p. (2021). MSC: 65L05 33C47 34A08 34A45 65L70 PDFBibTeX XMLCite \textit{A. M. Nagy} and \textit{A. A. El-Sayed}, Comput. Appl. Math. 40, No. 3, Paper No. 85, 13 p. (2021; Zbl 1476.65133) Full Text: DOI
Kumari, A.; Kukreja, V. K. Septic Hermite collocation method for the numerical solution of Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1528.65087 J. Difference Equ. Appl. 27, No. 8, 1193-1217 (2021). MSC: 65M70 65M06 65N35 65M15 33C45 35C08 35Q53 PDFBibTeX XMLCite \textit{A. Kumari} and \textit{V. K. Kukreja}, J. Difference Equ. Appl. 27, No. 8, 1193--1217 (2021; Zbl 1528.65087) Full Text: DOI
Xia, Mingtao; Shao, Sihong; Chou, Tom Efficient scaling and moving techniques for spectral methods in unbounded domains. (English) Zbl 1484.65277 SIAM J. Sci. Comput. 43, No. 5, A3244-A3268 (2021). MSC: 65M70 65F35 65M50 33C45 41A05 65M12 65M15 35C08 35B44 PDFBibTeX XMLCite \textit{M. Xia} et al., SIAM J. Sci. Comput. 43, No. 5, A3244--A3268 (2021; Zbl 1484.65277) Full Text: DOI arXiv
Kumar, Sachin; Zeidan, Dia An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. (English) Zbl 07398301 Appl. Numer. Math. 170, 190-207 (2021). MSC: 65M70 33E12 42C10 26A33 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{D. Zeidan}, Appl. Numer. Math. 170, 190--207 (2021; Zbl 07398301) Full Text: DOI
Wang, Fangyuan; Zheng, Xiangcheng; Zhou, Zhaojie Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient. (English) Zbl 1507.65196 Appl. Numer. Math. 170, 146-161 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M70 65M12 65M15 49K20 49M25 35B65 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Numer. Math. 170, 146--161 (2021; Zbl 1507.65196) Full Text: DOI
Yu, Xuhong; Li, Long; Wang, Zhongqing Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains. (English) Zbl 1501.65082 Appl. Numer. Math. 170, 39-54 (2021). MSC: 65M70 65M60 41A20 33C45 PDFBibTeX XMLCite \textit{X. Yu} et al., Appl. Numer. Math. 170, 39--54 (2021; Zbl 1501.65082) Full Text: DOI
Rahimkhani, Parisa; Ordokhani, Yadollah Orthonormal Bernoulli wavelets neural network method and its application in astrophysics. (English) Zbl 1476.62206 Comput. Appl. Math. 40, No. 3, Paper No. 78, 24 p. (2021). MSC: 62M45 33C45 65L60 65T60 85-08 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, Comput. Appl. Math. 40, No. 3, Paper No. 78, 24 p. (2021; Zbl 1476.62206) Full Text: DOI
Funaro, Daniele; Manzini, Gianmarco Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system. (English) Zbl 1486.65193 J. Sci. Comput. 88, No. 1, Paper No. 29, 36 p. (2021). Reviewer: Dana Černá (Liberec) MSC: 65M70 65M06 65N35 65M12 33C45 78A30 82D10 35Q60 35Q83 PDFBibTeX XMLCite \textit{D. Funaro} and \textit{G. Manzini}, J. Sci. Comput. 88, No. 1, Paper No. 29, 36 p. (2021; Zbl 1486.65193) Full Text: DOI arXiv
Yu, Xuhong; Ye, Xueqin; Wang, Zhongqing A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278 Numer. Algorithms 88, No. 1, 1-23 (2021). MSC: 65M70 35Q35 33C45 65M50 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Algorithms 88, No. 1, 1--23 (2021; Zbl 1484.65278) Full Text: DOI
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Zheng, Minling; Chen, Shanzhen Radial point interpolation collocation method based approximation for 2D fractional equation models. (English) Zbl 1524.65667 Comput. Math. Appl. 97, 153-161 (2021). MSC: 65M70 35R11 65M06 65M12 74S40 26A33 65M15 33C45 PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Math. Appl. 97, 153--161 (2021; Zbl 1524.65667) Full Text: DOI
Yang, Yubo; Wang, Li-Lian; Zeng, Fanhai Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak-Negami dispersive medium. (English) Zbl 1481.65199 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479-506 (2021). MSC: 65M70 65M06 65N35 65N30 65E05 65N12 41A10 41A25 41A30 41A58 35B35 33E12 78A25 78A60 26A33 35R11 35Q60 PDFBibTeX XMLCite \textit{Y. Yang} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 2, 479--506 (2021; Zbl 1481.65199) Full Text: DOI arXiv
Kormann, Katharina; Yurova, Anna A generalized Fourier-Hermite method for the Vlasov-Poisson system. (English) Zbl 1487.65167 BIT 61, No. 3, 881-909 (2021). MSC: 65M70 65M06 65N35 65M60 33C45 35L65 35Q83 35Q60 PDFBibTeX XMLCite \textit{K. Kormann} and \textit{A. Yurova}, BIT 61, No. 3, 881--909 (2021; Zbl 1487.65167) Full Text: DOI
Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. (English) Zbl 1512.65171 Math. Methods Appl. Sci. 44, No. 11, 9224-9236 (2021). MSC: 65L60 33C45 65L05 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., Math. Methods Appl. Sci. 44, No. 11, 9224--9236 (2021; Zbl 1512.65171) Full Text: DOI
Heydari, Mohammad Hossein; Razzaghi, Mohsen; Avazzadeh, Zakieh Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. (English) Zbl 1486.65197 Math. Methods Appl. Sci. 44, No. 11, 8669-8683 (2021). MSC: 65M70 65M06 65M15 65D07 33C45 41A50 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Math. Methods Appl. Sci. 44, No. 11, 8669--8683 (2021; Zbl 1486.65197) Full Text: DOI
Cetinkaya, Suleyman; Demir, Ali On solutions of hybrid time fractional heat problem. (English) Zbl 1484.65246 Bull. Inst. Math., Acad. Sin. (N.S.) 16, No. 1, 49-62 (2021). MSC: 65M70 33E17 34B24 34L10 26A33 35R11 PDFBibTeX XMLCite \textit{S. Cetinkaya} and \textit{A. Demir}, Bull. Inst. Math., Acad. Sin. (N.S.) 16, No. 1, 49--62 (2021; Zbl 1484.65246) Full Text: DOI
Wang, Junjie; Xiao, Aiguo; Bu, Weiping Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions. (English) Zbl 1495.65183 Math. Methods Appl. Sci. 44, No. 4, 2892-2913 (2021). Reviewer: Anouar Ben Mabrouk (Monastir) MSC: 65M70 65D05 65M12 65L60 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Methods Appl. Sci. 44, No. 4, 2892--2913 (2021; Zbl 1495.65183) Full Text: DOI
Daşcıoğlu, Ayşegül; Varol, Dilek Laguerre polynomial solutions of linear fractional integro-differential equations. (English) Zbl 07372204 Math. Sci., Springer 15, No. 1, 47-54 (2021). MSC: 65L60 33C45 34K07 34K37 45J05 PDFBibTeX XMLCite \textit{A. Daşcıoğlu} and \textit{D. Varol}, Math. Sci., Springer 15, No. 1, 47--54 (2021; Zbl 07372204) Full Text: DOI
Tameh, Maliheh Shaban; Shivanian, Elyas Fractional shifted Legendre tau method to solve linear and nonlinear variable-order fractional partial differential equations. (English) Zbl 1473.65246 Math. Sci., Springer 15, No. 1, 11-19 (2021). MSC: 65M70 33E20 35R11 PDFBibTeX XMLCite \textit{M. S. Tameh} and \textit{E. Shivanian}, Math. Sci., Springer 15, No. 1, 11--19 (2021; Zbl 1473.65246) Full Text: DOI
Gu, Dong-qin; Wang, Zhong-qing Orthogonal Jacobi rational functions and spectral methods on the half line. (English) Zbl 1477.65255 J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021). MSC: 65N35 65N12 65N15 41A20 35J15 33C47 PDFBibTeX XMLCite \textit{D.-q. Gu} and \textit{Z.-q. Wang}, J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021; Zbl 1477.65255) Full Text: DOI
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. (English) Zbl 1465.65154 J. Sci. Comput. 86, No. 3, Paper No. 29, 22 p. (2021). MSC: 65N30 65N35 65N12 35B65 41A10 33C45 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Sci. Comput. 86, No. 3, Paper No. 29, 22 p. (2021; Zbl 1465.65154) Full Text: DOI arXiv
Guo, Shimin; Chen, Yaping; Mei, Liquan; Song, Yining Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains. (English) Zbl 1524.65652 Comput. Math. Appl. 93, 1-19 (2021). MSC: 65M70 35R11 65M12 65M06 65M15 26A33 65D32 33C45 65N35 PDFBibTeX XMLCite \textit{S. Guo} et al., Comput. Math. Appl. 93, 1--19 (2021; Zbl 1524.65652) Full Text: DOI
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin A \(C^1\) Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence. (English) Zbl 1465.65128 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81-105 (2021). MSC: 65N30 65N35 65N12 65N15 33C45 PDFBibTeX XMLCite \textit{W. Cao} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 81--105 (2021; Zbl 1465.65128) Full Text: DOI arXiv
Cui, Tengteng; Chen, Sheng; Jiao, Yujian Efficient Hermite spectral methods for space tempered fractional diffusion equations. (English) Zbl 1468.65162 East Asian J. Appl. Math. 11, No. 1, 43-62 (2021). MSC: 65M70 65M22 65N35 65M12 65L12 65D30 41A05 41A10 41A25 42A38 33C45 35R11 PDFBibTeX XMLCite \textit{T. Cui} et al., East Asian J. Appl. Math. 11, No. 1, 43--62 (2021; Zbl 1468.65162) Full Text: DOI
Khosravian-Arab, Hassan; Eslahchi, M. R. Müntz pseudo-spectral method: theory and numerical experiments. (English) Zbl 1453.65358 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021). MSC: 65M70 26A33 33C45 58C40 65M15 35R11 34A08 PDFBibTeX XMLCite \textit{H. Khosravian-Arab} and \textit{M. R. Eslahchi}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021; Zbl 1453.65358) Full Text: DOI arXiv
Aibinu, M. O.; Moyo, S. C.; Moyo, S. Analyzing population dynamics models via Sumudu transform. arXiv:2112.07126 Preprint, arXiv:2112.07126 [q-bio.PE] (2021). MSC: 34A08 65M70 33C45 BibTeX Cite \textit{M. O. Aibinu} et al., ``Analyzing population dynamics models via Sumudu transform'', Preprint, arXiv:2112.07126 [q-bio.PE] (2021) Full Text: arXiv OA License
Hafez, R. M.; Youssri, Y. H. Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis. (English) Zbl 1496.35343 Tbil. Math. J. 13, No. 2, 129-148 (2020). MSC: 35Q53 65M70 33C45 34A08 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Tbil. Math. J. 13, No. 2, 129--148 (2020; Zbl 1496.35343) Full Text: DOI