Gambini, Alessandro; Nicoletti, Giorgio; Ritelli, Daniele A structural approach to Gudermannian functions. (English) Zbl 07783581 Result. Math. 79, No. 1, Paper No. 10, 29 p. (2024). MSC: 26A06 33B10 PDFBibTeX XMLCite \textit{A. Gambini} et al., Result. Math. 79, No. 1, Paper No. 10, 29 p. (2024; Zbl 07783581) Full Text: DOI OA License
Lin, Kai; Qian, Wei-Liang High-order matrix method with delimited expansion domain. (English) Zbl 1521.83132 Classical Quantum Gravity 40, No. 8, Article ID 085019, 24 p. (2023). MSC: 83C57 08B10 70K50 26A15 40C05 PDFBibTeX XMLCite \textit{K. Lin} and \textit{W.-L. Qian}, Classical Quantum Gravity 40, No. 8, Article ID 085019, 24 p. (2023; Zbl 1521.83132) Full Text: DOI arXiv
Toledo, F. J. On the convergence of infinite towers of powers and logarithms for general initial data: applications to Lambert W function sequences. (English) Zbl 1512.33007 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 71, 15 p. (2022). Reviewer: D. L. Suthar (Dessie) MSC: 33B30 26A18 33B10 40A05 PDFBibTeX XMLCite \textit{F. J. Toledo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 71, 15 p. (2022; Zbl 1512.33007) Full Text: DOI
Han, Che; Wang, Yu-Lan; Li, Zhi-Yuan Numerical solutions of space fractional variable-coefficient KdV-modified KdV equation by Fourier spectral method. (English) Zbl 1506.35199 Fractals 29, No. 8, Article ID 2150246, 19 p. (2021). MSC: 35Q53 35C08 37K40 65M70 26A33 35R11 PDFBibTeX XMLCite \textit{C. Han} et al., Fractals 29, No. 8, Article ID 2150246, 19 p. (2021; Zbl 1506.35199) Full Text: DOI
Gupta, Rupali; Kumar, Sushil Analysis of fractional-order population model of diabetes and effect of remission through lifestyle intervention. (English) Zbl 1493.92015 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 53, 19 p. (2021). Reviewer: Andrey Zahariev (Plovdiv) MSC: 92C32 26A33 34D20 PDFBibTeX XMLCite \textit{R. Gupta} and \textit{S. Kumar}, Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 53, 19 p. (2021; Zbl 1493.92015) Full Text: DOI
Le, Uyen; Pelinovsky, Dmitry E. Green’s function for the fractional KdV equation on the periodic domain via Mittag-Leffler function. (English) Zbl 1498.35582 Fract. Calc. Appl. Anal. 24, No. 5, 1507-1534 (2021). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{U. Le} and \textit{D. E. Pelinovsky}, Fract. Calc. Appl. Anal. 24, No. 5, 1507--1534 (2021; Zbl 1498.35582) Full Text: DOI arXiv
Delkhosh, Mehdi; Parand, Kourosh A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations. (English) Zbl 1501.65079 Numer. Algorithms 88, No. 2, 729-766 (2021). MSC: 65M70 65M12 65M15 58C40 35S10 26A33 35R11 PDFBibTeX XMLCite \textit{M. Delkhosh} and \textit{K. Parand}, Numer. Algorithms 88, No. 2, 729--766 (2021; Zbl 1501.65079) Full Text: DOI
Khosravian-Arab, Hassan; Eslahchi, Mohammad Reza Müntz Sturm-Liouville problems: theory and numerical experiments. (English) Zbl 1498.34033 Fract. Calc. Appl. Anal. 24, No. 3, 775-817 (2021). MSC: 34A08 35R11 26A33 65M70 65L60 PDFBibTeX XMLCite \textit{H. Khosravian-Arab} and \textit{M. R. Eslahchi}, Fract. Calc. Appl. Anal. 24, No. 3, 775--817 (2021; Zbl 1498.34033) Full Text: DOI arXiv
Hao, Zhaopeng; Li, Huiyuan; Zhang, Zhimin; Zhang, Zhongqiang Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. (English) Zbl 1480.65355 Math. Comput. 90, No. 331, 2107-2135 (2021). MSC: 65N35 65N30 65N12 35B65 41A25 26B40 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Hao} et al., Math. Comput. 90, No. 331, 2107--2135 (2021; Zbl 1480.65355) Full Text: DOI
Zhao, Zhenyu A Hermite extension method for numerical differentiation. (English) Zbl 1461.65025 Appl. Numer. Math. 159, 46-60 (2021). MSC: 65D25 26A24 PDFBibTeX XMLCite \textit{Z. Zhao}, Appl. Numer. Math. 159, 46--60 (2021; Zbl 1461.65025) 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
Owolabi, Kolade M. High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology. (English) Zbl 1483.35117 Chaos Solitons Fractals 134, Article ID 109723, 12 p. (2020). MSC: 35K57 35R11 35B36 26A33 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Chaos Solitons Fractals 134, Article ID 109723, 12 p. (2020; Zbl 1483.35117) Full Text: DOI
Shokri, Ali; Mirzaei, Soheila A pseudo-spectral based method for time-fractional advection-diffusion equation. (English) Zbl 1488.65517 Comput. Methods Differ. Equ. 8, No. 3, 454-467 (2020). MSC: 65M70 33E12 35R11 26A33 PDFBibTeX XMLCite \textit{A. Shokri} and \textit{S. Mirzaei}, Comput. Methods Differ. Equ. 8, No. 3, 454--467 (2020; Zbl 1488.65517) Full Text: DOI
Salem, Ahmed Best bounds for the Lambert \(W\) functions. (English) Zbl 1462.33010 J. Math. Inequal. 14, No. 4, 1237-1247 (2020). MSC: 33E20 26A48 26D07 PDFBibTeX XMLCite \textit{A. Salem}, J. Math. Inequal. 14, No. 4, 1237--1247 (2020; Zbl 1462.33010) Full Text: DOI
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. (English) Zbl 1447.65161 SIAM J. Sci. Comput. 42, No. 2, A585-A611 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 65M70 41A05 41A25 35R11 26A33 65T50 PDFBibTeX XMLCite \textit{T. Tang} et al., SIAM J. Sci. Comput. 42, No. 2, A585--A611 (2020; Zbl 1447.65161) Full Text: DOI arXiv
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral solutions of fractional differential equation modelling electrohydrodynamics flow in a cylindrical conduit. (English) Zbl 1460.76645 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104931, 15 p. (2019). MSC: 76M22 76W05 26A33 PDFBibTeX XMLCite \textit{S. Thirumalai} and \textit{R. Seshadri}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104931, 15 p. (2019; Zbl 1460.76645) Full Text: DOI
Prashanthi, K. S.; Chandhini, G. Regularization of highly ill-conditioned RBF asymmetric collocation systems in fractional models. (English) Zbl 1450.65133 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 105-116 (2019). MSC: 65M70 65M06 65M30 35R25 35R11 26A33 PDFBibTeX XMLCite \textit{K. S. Prashanthi} and \textit{G. Chandhini}, Adv. Mech. Math. 41, 105--116 (2019; Zbl 1450.65133) Full Text: DOI
Sánchez-Reyes, Javier The Joukowsky map reveals the cubic equation. (English) Zbl 1408.30006 Am. Math. Mon. 126, No. 1, 33-40 (2019). MSC: 30C15 26C10 41A50 PDFBibTeX XMLCite \textit{J. Sánchez-Reyes}, Am. Math. Mon. 126, No. 1, 33--40 (2019; Zbl 1408.30006) Full Text: DOI
Sweilam, Nasser; Al-Mekhlafi, Seham Shifted Chebyshev spectral-collocation method for solving optimal control of fractional multi-strain tuberculosis model. (English) Zbl 1424.37049 Fract. Differ. Calc. 8, No. 1, 1-31 (2018). MSC: 37N25 26A33 34A08 65L12 92C60 PDFBibTeX XMLCite \textit{N. Sweilam} and \textit{S. Al-Mekhlafi}, Fract. Differ. Calc. 8, No. 1, 1--31 (2018; Zbl 1424.37049) Full Text: DOI
Alzahrani, Faris; Salem, Ahmed Sharp bounds for the Lambert \(W\) function. (English) Zbl 1488.33070 Integral Transforms Spec. Funct. 29, No. 12, 971-978 (2018). MSC: 33E20 26A48 26D07 PDFBibTeX XMLCite \textit{F. Alzahrani} and \textit{A. Salem}, Integral Transforms Spec. Funct. 29, No. 12, 971--978 (2018; Zbl 1488.33070) Full Text: DOI
Youssri, Youssri H. A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation. (English) Zbl 1422.34076 Adv. Difference Equ. 2017, Paper No. 73, 17 p. (2017). MSC: 34A08 26A33 41A25 11B39 PDFBibTeX XMLCite \textit{Y. H. Youssri}, Adv. Difference Equ. 2017, Paper No. 73, 17 p. (2017; Zbl 1422.34076) Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Generalized Lucas polynomial sequence approach for fractional differential equations. (English) Zbl 1384.41003 Nonlinear Dyn. 89, No. 2, 1341-1355 (2017). MSC: 41A10 34A08 26A33 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Nonlinear Dyn. 89, No. 2, 1341--1355 (2017; Zbl 1384.41003) Full Text: DOI
Swielam, Nasser Hassan; Nagy, Abd Elhameed Mohamed; El Sayed, Adel Abd Elaziz Numerical approach for solving space fractional order diffusion equations using shifted Chebyshev polynomials of the fourth kind. (English) Zbl 1438.35442 Turk. J. Math. 40, No. 6, 1283-1297 (2016). MSC: 35R11 26A33 35K05 65M70 PDFBibTeX XMLCite \textit{N. H. Swielam} et al., Turk. J. Math. 40, No. 6, 1283--1297 (2016; Zbl 1438.35442) Full Text: DOI
Parand, Kourosh; Delkhosh, Mehdi Solving Volterra’s population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions. (English) Zbl 1355.65180 Ric. Mat. 65, No. 1, 307-328 (2016). Reviewer: Mahmoud Annaby (Giza) MSC: 65R20 92D40 92D25 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{K. Parand} and \textit{M. Delkhosh}, Ric. Mat. 65, No. 1, 307--328 (2016; Zbl 1355.65180) Full Text: DOI
Rim, Kyung Soo Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\). (English) Zbl 1323.42006 J. Math. Anal. Appl. 433, No. 1, 392-404 (2016). MSC: 42A16 26E30 PDFBibTeX XMLCite \textit{K. S. Rim}, J. Math. Anal. Appl. 433, No. 1, 392--404 (2016; Zbl 1323.42006) Full Text: DOI
Marcellán, Francisco; Xu, Yuan On Sobolev orthogonal polynomials. (English) Zbl 1351.33011 Expo. Math. 33, No. 3, 308-352 (2015). Reviewer: Jiří Hrivnák (Praha) MSC: 33C45 33C50 41A10 42C05 42C10 26C10 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{Y. Xu}, Expo. Math. 33, No. 3, 308--352 (2015; Zbl 1351.33011) Full Text: DOI arXiv
Cao, Yanzhao; Jiang, Ying; Xu, Yuesheng Orthogonal polynomial expansions on sparse grids. (English) Zbl 1300.65009 J. Complexity 30, No. 6, 683-715 (2014). MSC: 65D15 33C45 65T50 26E05 65N35 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Complexity 30, No. 6, 683--715 (2014; Zbl 1300.65009) Full Text: DOI
Hanert, Emmanuel On the numerical solution of space-time fractional diffusion models. (English) Zbl 1305.65212 Comput. Fluids 46, No. 1, 33-39 (2011). MSC: 65M70 26A33 33E12 35R11 45K05 PDFBibTeX XMLCite \textit{E. Hanert}, Comput. Fluids 46, No. 1, 33--39 (2011; Zbl 1305.65212) Full Text: DOI
Boyd, John P.; Sousa, Alan M. An SVD analysis of equispaced polynomial interpolation. (English) Zbl 1175.65020 Appl. Numer. Math. 59, No. 10, 2534-2547 (2009). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 65D05 26C05 41A05 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{A. M. Sousa}, Appl. Numer. Math. 59, No. 10, 2534--2547 (2009; Zbl 1175.65020) Full Text: DOI
Boyd, John P.; Gally, Daniel H. Numerical experiments on the accuracy of the Chebyshev-Frobenius companion matrix method for finding the zeros of a truncated series of Chebyshev polynomials. (English) Zbl 1118.65032 J. Comput. Appl. Math. 205, No. 1, 281-295 (2007). MSC: 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{D. H. Gally}, J. Comput. Appl. Math. 205, No. 1, 281--295 (2007; Zbl 1118.65032) Full Text: DOI
Boyd, John P. Computing real roots of a polynomial in Chebyshev series form through subdivision. (English) Zbl 1119.65033 Appl. Numer. Math. 56, No. 8, 1077-1091 (2006). Reviewer: B. Döring (Düsseldorf) MSC: 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Numer. Math. 56, No. 8, 1077--1091 (2006; Zbl 1119.65033) Full Text: DOI
Boyd, John P. Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves. (English) Zbl 1090.65052 Appl. Math. Comput. 174, No. 2, 1642-1658 (2006). MSC: 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Math. Comput. 174, No. 2, 1642--1658 (2006; Zbl 1090.65052) Full Text: DOI