Thirumalai, Sagithya; Seshadri, Rajeswari; Yüzbaşıi, Şuayip On the solution of the human immunodeficiency virus (HIV) infection model using spectral collocation method. (English) Zbl 07336077 Int. J. Biomath. 14, No. 2, Article ID 2050074, 26 p. (2021). MSC: 92 PDF BibTeX XML Cite \textit{S. Thirumalai} et al., Int. J. Biomath. 14, No. 2, Article ID 2050074, 26 p. (2021; Zbl 07336077) Full Text: DOI
Wang, Fangyuan; Zhang, Zhongqiang; Zhou, Zhaojie A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations. (English) Zbl 1456.49026 J. Comput. Appl. Math. 386, Article ID 113233, 17 p. (2021). MSC: 49M41 49M25 49K20 49N60 65K10 35R11 35K57 PDF BibTeX XML Cite \textit{F. Wang} et al., J. Comput. Appl. Math. 386, Article ID 113233, 17 p. (2021; Zbl 1456.49026) Full Text: DOI
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. (English) Zbl 07328855 Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020). MSC: 33C45 35Q40 41A55 41A25 65M70 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020; Zbl 07328855) Full Text: DOI
Qin, Xinqiang; Peng, Dayao; Hu, Gang Implicit radial point interpolation method for nonlinear space fractional advection-diffusion equations. (English) Zbl 1456.65091 Rocky Mt. J. Math. 50, No. 6, 2199-2212 (2020). MSC: 65M22 65M70 65D32 35R11 PDF BibTeX XML Cite \textit{X. Qin} et al., Rocky Mt. J. Math. 50, No. 6, 2199--2212 (2020; Zbl 1456.65091) Full Text: DOI Euclid
Maleknejad, Khosrow; Rashidinia, Jalil; Eftekhari, Tahereh Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space. (English) Zbl 07291016 Comput. Appl. Math. 39, No. 4, Paper No. 271, 21 p. (2020). MSC: 65 26A33 33C45 65N35 PDF BibTeX XML Cite \textit{K. Maleknejad} et al., Comput. Appl. Math. 39, No. 4, Paper No. 271, 21 p. (2020; Zbl 07291016) Full Text: DOI
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. (English) Zbl 1451.65209 Comput. Methods Appl. Math. 20, No. 3, 573-589 (2020). MSC: 65N30 35B65 41A10 33C45 PDF BibTeX XML Cite \textit{X. Zheng} et al., Comput. Methods Appl. Math. 20, No. 3, 573--589 (2020; Zbl 1451.65209) Full Text: DOI
Yang, Yin; Kang, Sujuan; Vasil’ev, Vasiliy I. The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions. (English) Zbl 1448.65084 Electron Res. Arch. 28, No. 3, 1161-1189 (2020). MSC: 65L60 65L70 34A12 74S25 33C45 34A08 PDF BibTeX XML Cite \textit{Y. Yang} et al., Electron Res. Arch. 28, No. 3, 1161--1189 (2020; Zbl 1448.65084) Full Text: DOI
Alhaidari, A. D. Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021 Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020). MSC: 81Q10 34L40 34L05 33C45 34A25 PDF BibTeX XML Cite \textit{A. D. Alhaidari}, Theor. Math. Phys. 202, No. 1, 17--29 (2020; Zbl 1445.81021); translation from Teor. Mat. Fiz. 202, No. 1, 20--33 (2020); correction ibid. 205, No. 1, 1391 (2020) Full Text: DOI
Latifi, Sobhan; Delkhosh, Mehdi Generalized Lagrange Jacobi-Gauss-Lobatto vs Jacobi-Gauss-Lobatto collocation approximations for solving \((2 + 1)\)-dimensional sine-Gordon equations. (English) Zbl 1452.65277 Math. Methods Appl. Sci. 43, No. 4, 2001-2019 (2020). Reviewer: Hendrik Ranocha (Braunschweig) MSC: 65M70 65M06 65M15 41A10 PDF BibTeX XML Cite \textit{S. Latifi} and \textit{M. Delkhosh}, Math. Methods Appl. Sci. 43, No. 4, 2001--2019 (2020; Zbl 1452.65277) Full Text: DOI
Hammad, Magda; Hafez, Ramy M.; Youssri, Youssri H.; Doha, Eid H. Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains. (English) Zbl 1446.65126 Appl. Numer. Math. 157, 88-109 (2020). MSC: 65M70 65M60 65D05 35L02 33C45 PDF BibTeX XML Cite \textit{M. Hammad} et al., Appl. Numer. Math. 157, 88--109 (2020; Zbl 1446.65126) Full Text: DOI
Makarov, V. L.; Maĭko, N. V. Weighted accuracy estimates of the Cayley transform method for abstract boundary-value problems in a Banach space. (Ukrainian. English summary) Zbl 07233051 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 3-9 (2020). MSC: 65 33C45 34G20 65M70 PDF BibTeX XML Cite \textit{V. L. Makarov} and \textit{N. V. Maĭko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 3--9 (2020; Zbl 07233051) Full Text: DOI
Lee, Jaejoon; Park, Yoonseo; Park, Hyunseo; Shin, Changsoo; Chung, Wookeen A staggered time integrator for the linear acoustic wave equation using the Jacobi-Anger expansion. (English) Zbl 1437.76040 J. Comput. Phys. 416, Article ID 109489, 18 p. (2020). MSC: 76M22 76Q05 65M70 PDF BibTeX XML Cite \textit{J. Lee} et al., J. Comput. Phys. 416, Article ID 109489, 18 p. (2020; Zbl 1437.76040) Full Text: DOI
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. (English) Zbl 07188145 Appl. Numer. Math. 153, 234-247 (2020). MSC: 65D 65A 41A 00A PDF BibTeX XML Cite \textit{X. Zheng} et al., Appl. Numer. Math. 153, 234--247 (2020; Zbl 07188145) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. (English) Zbl 1435.65170 J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020). MSC: 65M70 65M60 65M06 65M12 65M15 35R09 45K05 33C45 26A33 35R11 PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020; Zbl 1435.65170) Full Text: DOI
Yu, Zhe; Wu, Boying; Sun, Jiebao; Liu, Wenjie A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms. (English) Zbl 1440.65152 Appl. Numer. Math. 152, 355-378 (2020). MSC: 65M70 65M60 33C45 65M15 65M12 65F50 26A33 35R11 35A15 35A01 35A02 PDF BibTeX XML Cite \textit{Z. Yu} et al., Appl. Numer. Math. 152, 355--378 (2020; Zbl 1440.65152) Full Text: DOI
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. (English) Zbl 1436.65215 Numer. Algorithms 83, No. 3, 987-1006 (2020). MSC: 65R20 45D05 65L60 65F22 PDF BibTeX XML Cite \textit{P. Mokhtary} et al., Numer. Algorithms 83, No. 3, 987--1006 (2020; Zbl 1436.65215) Full Text: DOI
Kant, Kapil; Mandal, Moumita; Nelakanti, Gnaneshwar Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations. (English) Zbl 1441.65126 Mediterr. J. Math. 17, No. 1, Paper No. 20, 24 p. (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65R20 45D05 45E05 PDF BibTeX XML Cite \textit{K. Kant} et al., Mediterr. J. Math. 17, No. 1, Paper No. 20, 24 p. (2020; Zbl 1441.65126) Full Text: DOI
Erfani, S.; Babolian, E.; Javadi, S. Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems. (English) Zbl 1433.65146 Appl. Math. Comput. 364, Article ID 124638, 15 p. (2020). MSC: 65L60 65L70 65R20 PDF BibTeX XML Cite \textit{S. Erfani} et al., Appl. Math. Comput. 364, Article ID 124638, 15 p. (2020; Zbl 1433.65146) Full Text: DOI
Behroozifar, Mahmoud; Ahmadpour, Farkhondeh A study on spectral methods for linear and nonlinear fractional differential equations. (English) Zbl 1453.65189 Int. J. Comput. Sci. Math. 10, No. 6, 545-556 (2019). MSC: 65L60 34A08 PDF BibTeX XML Cite \textit{M. Behroozifar} and \textit{F. Ahmadpour}, Int. J. Comput. Sci. Math. 10, No. 6, 545--556 (2019; Zbl 1453.65189) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations. (English) Zbl 07264748 Commun. Nonlinear Sci. Numer. Simul. 72, 342-359 (2019). MSC: 65R PDF BibTeX XML Cite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 72, 342--359 (2019; Zbl 07264748) Full Text: DOI
Ahmed, Hoda F. Gegenbauer collocation algorithm for solving two-dimensional time-space fractional diffusion equations. (English) Zbl 07258521 C. R. Acad. Bulg. Sci. 72, No. 8, 1024-1035 (2019). Reviewer: Angela Slavova (Sofia) MSC: 35A08 65M70 33C45 PDF BibTeX XML Cite \textit{H. F. Ahmed}, C. R. Acad. Bulg. Sci. 72, No. 8, 1024--1035 (2019; Zbl 07258521) Full Text: DOI
Doha, E. H.; Hafez, R. M.; Youssri, Y. H. Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations. (English) Zbl 1442.65290 Comput. Math. Appl. 78, No. 3, 889-904 (2019). MSC: 65M70 65M60 35L50 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Comput. Math. Appl. 78, No. 3, 889--904 (2019; Zbl 1442.65290) Full Text: DOI
Hasanpour, Maryam; Behroozifar, Mahmoud; Tafakhori, Nazanin Numerical solution of fractional sine-Gordon equation using spectral method and homogenization. (English) Zbl 07168391 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 7-8, 811-822 (2019). MSC: 97N50 26A33 35R11 35B27 PDF BibTeX XML Cite \textit{M. Hasanpour} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 7--8, 811--822 (2019; Zbl 07168391) Full Text: DOI
Yu, Xuhong; Wang, Zhongqing; Li, Huiyuan Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems. (English) Zbl 1449.33014 Commun. Appl. Math. Comput. 1, No. 2, 283-308 (2019). MSC: 33C45 35J25 65N15 65N35 PDF BibTeX XML Cite \textit{X. Yu} et al., Commun. Appl. Math. Comput. 1, No. 2, 283--308 (2019; Zbl 1449.33014) Full Text: DOI
Liu, Fujun; Lu, Jing Fully diagonalized spectral methods for solving Neumann boundary value problems. (English) Zbl 1449.65335 Math. Appl. 32, No. 3, 552-558 (2019). MSC: 65N35 35J15 33C45 PDF BibTeX XML Cite \textit{F. Liu} and \textit{J. Lu}, Math. Appl. 32, No. 3, 552--558 (2019; Zbl 1449.65335)
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. (English) Zbl 1429.65289 Appl. Math. Comput. 361, 98-111 (2019). MSC: 65N35 33C45 35R11 35B65 PDF BibTeX XML Cite \textit{X. Zheng} et al., Appl. Math. Comput. 361, 98--111 (2019; Zbl 1429.65289) Full Text: DOI arXiv
Yu, Hao; Wu, Boying; Zhang, Dazhi The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains. (English) Zbl 1447.65103 Numer. Algorithms 82, No. 4, 1221-1250 (2019). Reviewer: Srinivasan Natesan (Assam) MSC: 65M70 65M60 65M12 65M15 33C45 35R11 26A33 PDF BibTeX XML Cite \textit{H. Yu} et al., Numer. Algorithms 82, No. 4, 1221--1250 (2019; Zbl 1447.65103) Full Text: DOI
Yang, Yin; Tang, Zhuyan; Huang, Yunqing Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method. (English) Zbl 1429.65327 Appl. Math. Comput. 349, 314-324 (2019). MSC: 65R20 45B05 65M70 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 349, 314--324 (2019; Zbl 1429.65327) Full Text: DOI
Zhang, Chao; Wang, Tian-jun Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation. (English) Zbl 1429.65288 Appl. Math. Comput. 343, 328-341 (2019). MSC: 65N35 33C45 35K15 35K20 PDF BibTeX XML Cite \textit{C. Zhang} and \textit{T.-j. Wang}, Appl. Math. Comput. 343, 328--341 (2019; Zbl 1429.65288) Full Text: DOI
Wang, Tianjun; Jiao, Yujian; Liu, Wenjie Pseudospectral method for Fisher equation in a disk. (English) Zbl 1429.65255 Appl. Math. Comput. 343, 30-48 (2019). MSC: 65M70 33C45 92D25 74L10 PDF BibTeX XML Cite \textit{T. Wang} et al., Appl. Math. Comput. 343, 30--48 (2019; Zbl 1429.65255) Full Text: DOI
Shen, Jie; Sheng, Chang-Tao An efficient space-time method for time fractional diffusion equation. (English) Zbl 07129389 J. Sci. Comput. 81, No. 2, 1088-1110 (2019). MSC: 65 26A33 34A08 49M27 65N15 65N35 76M22 76-02 PDF BibTeX XML Cite \textit{J. Shen} and \textit{C.-T. Sheng}, J. Sci. Comput. 81, No. 2, 1088--1110 (2019; Zbl 07129389) Full Text: DOI
Kant, Kapil; Nelakanti, Gnaneshwar Jacobi spectral methods for Volterra-Urysohn integral equations of second kind with weakly singular kernels. (English) Zbl 1432.65197 Numer. Funct. Anal. Optim. 40, No. 15, 1787-1821 (2019). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 45D05 PDF BibTeX XML Cite \textit{K. Kant} and \textit{G. Nelakanti}, Numer. Funct. Anal. Optim. 40, No. 15, 1787--1821 (2019; Zbl 1432.65197) Full Text: DOI
Yang, Yin; Tohidi, Emran Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis. (English) Zbl 1438.65258 Comput. Appl. Math. 38, No. 3, Paper No. 127, 14 p. (2019). MSC: 65M70 34B05 33C45 41A55 41A25 65D32 65M12 42C10 35R07 35Q92 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Tohidi}, Comput. Appl. Math. 38, No. 3, Paper No. 127, 14 p. (2019; Zbl 1438.65258) Full Text: DOI
Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. (English) Zbl 1438.65244 Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019). MSC: 65M70 74S25 26A33 35R11 33C45 65M12 65M15 PDF BibTeX XML Cite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019; Zbl 1438.65244) Full Text: DOI
Keßler, Torsten; Rjasanow, Sergej Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation. (English) Zbl 1421.82032 Kinet. Relat. Models 12, No. 3, 507-549 (2019). MSC: 82C80 82C40 65N35 33C45 35L04 65M08 PDF BibTeX XML Cite \textit{T. Keßler} and \textit{S. Rjasanow}, Kinet. Relat. Models 12, No. 3, 507--549 (2019; Zbl 1421.82032) Full Text: DOI
Talaei, Y. Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations. (English) Zbl 1429.65325 J. Appl. Math. Comput. 60, No. 1-2, 201-222 (2019). MSC: 65R20 45D05 45E10 65M70 33C45 PDF BibTeX XML Cite \textit{Y. Talaei}, J. Appl. Math. Comput. 60, No. 1--2, 201--222 (2019; Zbl 1429.65325) Full Text: DOI
Mikhaylov, Alexandr; Mikhaylov, Victor Dynamic inverse problem for Jacobi matrices. (English) Zbl 1418.35382 Inverse Probl. Imaging 13, No. 3, 431-447 (2019). MSC: 35R30 93B30 39A12 35C15 35P99 PDF BibTeX XML Cite \textit{A. Mikhaylov} and \textit{V. Mikhaylov}, Inverse Probl. Imaging 13, No. 3, 431--447 (2019; Zbl 1418.35382) Full Text: DOI
Mohamed, Amany S.; Mokhtar, Mahmoud M. Spectral tau-Jacobi algorithm for space fractional advection-dispersion problem. (English) Zbl 1422.65287 Appl. Appl. Math. 14, No. 1, 548-561 (2019). MSC: 65M70 33C45 34A08 PDF BibTeX XML Cite \textit{A. S. Mohamed} and \textit{M. M. Mokhtar}, Appl. Appl. Math. 14, No. 1, 548--561 (2019; Zbl 1422.65287) Full Text: Link
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations. (English) Zbl 07086704 Nonlinear Anal., Model. Control 24, No. 3, 332-352 (2019). MSC: 65L 35C PDF BibTeX XML Cite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 24, No. 3, 332--352 (2019; Zbl 07086704) Full Text: DOI
Duan, Beiping; Zheng, Zhoushun An exponentially convergent scheme in time for time fractional diffusion equations with non-smooth initial data. (English) Zbl 1416.65473 J. Sci. Comput. 80, No. 2, 717-742 (2019). MSC: 65N35 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{B. Duan} and \textit{Z. Zheng}, J. Sci. Comput. 80, No. 2, 717--742 (2019; Zbl 1416.65473) Full Text: DOI
Almoaeet, Mohammed K.; Shamsi, Mostafa; Khosravian-arab, Hassan; Torres, Delfim F. M. A collocation method of lines for two-sided space-fractional advection-diffusion equations with variable coefficients. (English) Zbl 1416.65374 Math. Methods Appl. Sci. 42, No. 10, 3465-3480 (2019). MSC: 65M70 35R11 65M20 PDF BibTeX XML Cite \textit{M. K. Almoaeet} et al., Math. Methods Appl. Sci. 42, No. 10, 3465--3480 (2019; Zbl 1416.65374) Full Text: DOI
Zhang, Lu; Zhou, Zhaojie Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation. (English) Zbl 1425.49018 Appl. Numer. Math. 143, 247-262 (2019). MSC: 49M25 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{Z. Zhou}, Appl. Numer. Math. 143, 247--262 (2019; Zbl 1425.49018) Full Text: DOI
Alsuyuti, Muhammad M.; Doha, Eid H.; Ezz-Eldien, Samer S.; Bayoumi, Bayoumi I.; Baleanu, Dumitru Modified Galerkin algorithm for solving multitype fractional differential equations. (English) Zbl 1416.65375 Math. Methods Appl. Sci. 42, No. 5, 1389-1412 (2019). MSC: 65M70 65N35 35C10 PDF BibTeX XML Cite \textit{M. M. Alsuyuti} et al., Math. Methods Appl. Sci. 42, No. 5, 1389--1412 (2019; Zbl 1416.65375) Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Sixth-kind Chebyshev spectral approach for solving fractional differential equations. (English) Zbl 07048618 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191-203 (2019). MSC: 65M70 34A08 33C45 11B83 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191--203 (2019; Zbl 07048618) Full Text: DOI
Eslahchi, M. R.; Abedzadeh, A. Extended Jacobi and Laguerre functions and their applications. (English) Zbl 1455.33004 Iran. J. Math. Sci. Inform. 13, No. 2, 143-161 (2018). MSC: 33C45 34B24 65M70 65M60 PDF BibTeX XML Cite \textit{M. R. Eslahchi} and \textit{A. Abedzadeh}, Iran. J. Math. Sci. Inform. 13, No. 2, 143--161 (2018; Zbl 1455.33004) Full Text: Link
Ezz-Eldien, S. S.; Doha, E. H.; Bhrawy, A. H.; El-Kalaawy, A. A.; Machado, J. A. T. A new operational approach for solving fractional variational problems depending on indefinite integrals. (English) Zbl 07263284 Commun. Nonlinear Sci. Numer. Simul. 57, 246-263 (2018). MSC: 34A08 65M70 33C45 PDF BibTeX XML Cite \textit{S. S. Ezz-Eldien} et al., Commun. Nonlinear Sci. Numer. Simul. 57, 246--263 (2018; Zbl 07263284) Full Text: DOI
Xu, Xin; Zeng, Xiaoyan Solving Fisher-type equations by Jacobi spectral collocation method. (English) Zbl 1438.65256 Commun. Appl. Math. Comput. 32, No. 4, 741-761 (2018). MSC: 65M70 65L10 35Q92 PDF BibTeX XML Cite \textit{X. Xu} and \textit{X. Zeng}, Commun. Appl. Math. Comput. 32, No. 4, 741--761 (2018; Zbl 1438.65256) Full Text: DOI
Sheng, Changtao; Shen, Jie A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. (English) Zbl 1438.65308 Numer. Math., Theory Methods Appl. 11, No. 4, 854-876 (2018). MSC: 65N35 65N15 26A33 35R11 65M22 33C45 PDF BibTeX XML Cite \textit{C. Sheng} and \textit{J. Shen}, Numer. Math., Theory Methods Appl. 11, No. 4, 854--876 (2018; Zbl 1438.65308) Full Text: DOI
Feng, Lixin; Zuo, Xianqiu Generalized Hermite spectrum and pseudospectral method for solving inverse heat source problem. (Chinese. English summary) Zbl 1438.65250 J. Nat. Sci. Heilongjiang Univ. 35, No. 6, 671-677 (2018). MSC: 65M70 65M15 65M32 33C45 35B65 65M12 80A23 35Q79 PDF BibTeX XML Cite \textit{L. Feng} and \textit{X. Zuo}, J. Nat. Sci. Heilongjiang Univ. 35, No. 6, 671--677 (2018; Zbl 1438.65250) Full Text: DOI
Zhou, Qin; Yang, Yin Jacobi collocation method for time fractional Fokker-Planck equations. (Chinese. English summary) Zbl 1438.65263 Chin. J. Eng. Math. 35, No. 6, 684-692 (2018). MSC: 65M70 26A33 35R11 35Q84 PDF BibTeX XML Cite \textit{Q. Zhou} and \textit{Y. Yang}, Chin. J. Eng. Math. 35, No. 6, 684--692 (2018; Zbl 1438.65263) Full Text: DOI
Guo, Xu; Ling, Leevan Evaluation finite moment log-stable option pricing by a spectral method. (English) Zbl 1424.91126 Numer. Math., Theory Methods Appl. 11, No. 3, 437-452 (2018). MSC: 91G20 35K10 35R11 PDF BibTeX XML Cite \textit{X. Guo} and \textit{L. Ling}, Numer. Math., Theory Methods Appl. 11, No. 3, 437--452 (2018; Zbl 1424.91126) Full Text: DOI
Ezz-Eldien, S. S. On solving systems of multi-pantograph equations via spectral tau method. (English) Zbl 1426.65114 Appl. Math. Comput. 321, 63-73 (2018). MSC: 65L60 33C45 34K05 65L03 PDF BibTeX XML Cite \textit{S. S. Ezz-Eldien}, Appl. Math. Comput. 321, 63--73 (2018; Zbl 1426.65114) Full Text: DOI
Yang, Yin; Huang, Yunqing; Zhou, Yong Numerical simulation of time fractional cable equations and convergence analysis. (English) Zbl 1407.65233 Numer. Methods Partial Differ. Equations 34, No. 5, 1556-1576 (2018). MSC: 65M70 35Q92 92C20 35R11 65M12 65R20 45A05 45K05 PDF BibTeX XML Cite \textit{Y. Yang} et al., Numer. Methods Partial Differ. Equations 34, No. 5, 1556--1576 (2018; Zbl 1407.65233) Full Text: DOI
Li, Jing-Min; Wang, Zhong-Qing; Li, Hui-Yuan Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problems. (English) Zbl 1442.65143 Int. J. Numer. Anal. Model. 15, No. 1-2, 243-259 (2018). MSC: 65L60 33C45 PDF BibTeX XML Cite \textit{J.-M. Li} et al., Int. J. Numer. Anal. Model. 15, No. 1--2, 243--259 (2018; Zbl 1442.65143) Full Text: Link
Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, D. Efficient numerical treatments for a fractional optimal control nonlinear tuberculosis model. (English) Zbl 1407.65226 Int. J. Biomath. 11, No. 8, Article ID 1850115, 31 p. (2018). MSC: 65M70 26A33 35R11 65H10 49M15 92C50 92C60 49K20 PDF BibTeX XML Cite \textit{N. H. Sweilam} et al., Int. J. Biomath. 11, No. 8, Article ID 1850115, 31 p. (2018; Zbl 1407.65226) Full Text: DOI
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran A new approach for solving a class of delay fractional partial differential equations. (English) Zbl 1407.65214 Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018). MSC: 65M70 35R11 44A10 42C10 65D32 33C45 PDF BibTeX XML Cite \textit{S. Hosseinpour} et al., Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018; Zbl 1407.65214) Full Text: DOI
Ahmadov, A. I.; Nagiyev, Sh. M.; Qocayeva, M. V.; Uzun, K.; Tarverdiyeva, V. A. Bound state solution of the Klein-Fock-Gordon equation with the Hulthén plus a ring-shaped-like potential within SUSY quantum mechanics. (English) Zbl 1404.81119 Int. J. Mod. Phys. A 33, No. 33, Article ID 1850203, 23 p. (2018). MSC: 81Q60 81Q05 35P05 81V45 33C45 PDF BibTeX XML Cite \textit{A. I. Ahmadov} et al., Int. J. Mod. Phys. A 33, No. 33, Article ID 1850203, 23 p. (2018; Zbl 1404.81119) Full Text: DOI arXiv
Chen, Sheng; Shen, Jie Enriched spectral methods and applications to problems with weakly singular solutions. (English) Zbl 1406.65123 J. Sci. Comput. 77, No. 3, 1468-1489 (2018). MSC: 65N35 65N15 65N30 35J75 PDF BibTeX XML Cite \textit{S. Chen} and \textit{J. Shen}, J. Sci. Comput. 77, No. 3, 1468--1489 (2018; Zbl 1406.65123) Full Text: DOI
Chapko, Roman; Mindrinos, Leonidas On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. (English) Zbl 1408.65093 J. Integral Equations Appl. 30, No. 4, 521-542 (2018). MSC: 65N35 35L20 42C10 45E05 33C45 65D32 74S15 65R20 35Q70 PDF BibTeX XML Cite \textit{R. Chapko} and \textit{L. Mindrinos}, J. Integral Equations Appl. 30, No. 4, 521--542 (2018; Zbl 1408.65093) Full Text: DOI Euclid
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral solutions of system of Volterra integro-differential equations and their error analysis. (English) Zbl 1404.65334 Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 146, 14 p. (2018). MSC: 65R20 45D05 45G15 45J05 PDF BibTeX XML Cite \textit{S. Thirumalai} and \textit{R. Seshadri}, Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 146, 14 p. (2018; Zbl 1404.65334) Full Text: DOI
Mehrali-Varjani, Mohsen; Shamsi, Mostafa; Malek, Alaeddin Solving a class of Hamilton-Jacobi-Bellman equations using pseudospectral methods. (English) Zbl 1449.49007 Kybernetika 54, No. 4, 629-647 (2018). MSC: 49J20 65M70 35F21 PDF BibTeX XML Cite \textit{M. Mehrali-Varjani} et al., Kybernetika 54, No. 4, 629--647 (2018; Zbl 1449.49007) Full Text: DOI
Mikhaylov, Alexander S.; Mikhaylov, Victor S.; Simonov, Sergey A. On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. (English) Zbl 1402.37083 Math. Methods Appl. Sci. 41, No. 16, 6401-6408 (2018). MSC: 37K20 34K08 47B36 34B20 PDF BibTeX XML Cite \textit{A. S. Mikhaylov} et al., Math. Methods Appl. Sci. 41, No. 16, 6401--6408 (2018; Zbl 1402.37083) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. On spectral methods for solving variable-order fractional integro-differential equations. (English) Zbl 1404.65192 Comput. Appl. Math. 37, No. 3, 3937-3950 (2018). MSC: 65M70 65N35 26A33 35R11 33C45 35R09 45K05 65D32 65D05 65H10 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Comput. Appl. Math. 37, No. 3, 3937--3950 (2018; Zbl 1404.65192) Full Text: DOI
Zaky, Mahmoud A. A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. (English) Zbl 1404.65204 Comput. Appl. Math. 37, No. 3, 3525-3538 (2018). MSC: 65M70 34A08 33C45 11B83 65M12 35R11 PDF BibTeX XML Cite \textit{M. A. Zaky}, Comput. Appl. Math. 37, No. 3, 3525--3538 (2018; Zbl 1404.65204) Full Text: DOI
Salehi, Farideh; Saeedi, Habibollah; Moghadam, Mohseni Moghadam Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh-Stokes problem. (English) Zbl 1400.65060 Comput. Appl. Math. 37, No. 4, 5274-5292 (2018). MSC: 65N35 35R11 33C45 35Q30 PDF BibTeX XML Cite \textit{F. Salehi} et al., Comput. Appl. Math. 37, No. 4, 5274--5292 (2018; Zbl 1400.65060) Full Text: DOI
Hafez, Ramy M. Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method. (English) Zbl 1404.65196 Comput. Appl. Math. 37, No. 4, 5253-5273 (2018). MSC: 65M70 35L20 33C45 35Q60 35Q79 PDF BibTeX XML Cite \textit{R. M. Hafez}, Comput. Appl. Math. 37, No. 4, 5253--5273 (2018; Zbl 1404.65196) Full Text: DOI
Blokhin, A. M.; Kruglova, E. A.; Semisalov, B. V. Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders. (English. Russian original) Zbl 1442.76013 Comput. Math. Math. Phys. 58, No. 7, 1099-1115 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018). MSC: 76A10 65M70 65M15 33C45 PDF BibTeX XML Full Text: DOI
Zheng, Weishan Convergence analysis for fractional integral and differential equation with nonlinear delay. (Chinese. English summary) Zbl 1413.65297 Acta Sci. Nat. Univ. Sunyatseni 57, No. 1, 55-62 (2018). MSC: 65L20 65L60 26A33 PDF BibTeX XML Cite \textit{W. Zheng}, Acta Sci. Nat. Univ. Sunyatseni 57, No. 1, 55--62 (2018; Zbl 1413.65297) Full Text: DOI
Thirumalai, Sagithya; Seshadri, Rajeswari Spectral analysis on Burgers’ equation and its solutions using three different basis functions. (English) Zbl 1407.65227 Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018). MSC: 65M70 35Q35 35Q53 65L06 35K55 76L05 41A10 41A50 42C10 33C45 PDF BibTeX XML Cite \textit{S. Thirumalai} and \textit{R. Seshadri}, Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 93, 21 p. (2018; Zbl 1407.65227) Full Text: DOI
Chai, Guo; Wang, Tian-jun Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field. (English) Zbl 1397.65200 Appl. Numer. Math. 133, 25-40 (2018). MSC: 65M70 35Q84 82C31 33C45 PDF BibTeX XML Cite \textit{G. Chai} and \textit{T.-j. Wang}, Appl. Numer. Math. 133, 25--40 (2018; Zbl 1397.65200) Full Text: DOI
Hale, Nicholas; Olver, Sheehan A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. (English) Zbl 1397.65124 SIAM J. Sci. Comput. 40, No. 4, A2456-A2491 (2018). MSC: 65L99 34A08 PDF BibTeX XML Cite \textit{N. Hale} and \textit{S. Olver}, SIAM J. Sci. Comput. 40, No. 4, A2456--A2491 (2018; Zbl 1397.65124) Full Text: DOI arXiv
Kamali, Farzaneh; Saeedi, Habibollah Generalized fractional-order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically. (English) Zbl 1395.65148 Math. Methods Appl. Sci. 41, No. 8, 3155-3174 (2018). MSC: 65N35 65M70 35R11 65M12 65M15 26A33 33C45 35Q55 PDF BibTeX XML Cite \textit{F. Kamali} and \textit{H. Saeedi}, Math. Methods Appl. Sci. 41, No. 8, 3155--3174 (2018; Zbl 1395.65148) Full Text: DOI
Bolten, M.; Rittich, H. Fourier analysis of periodic stencils in multigrid methods. (English) Zbl 1402.65175 SIAM J. Sci. Comput. 40, No. 3, A1642-A1668 (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N55 65F10 65N22 65N06 PDF BibTeX XML Cite \textit{M. Bolten} and \textit{H. Rittich}, SIAM J. Sci. Comput. 40, No. 3, A1642--A1668 (2018; Zbl 1402.65175) Full Text: DOI
Shi, Xiulian; Wei, Yunxia Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations. (English) Zbl 1391.45005 Lith. Math. J. 58, No. 1, 75-94 (2018). MSC: 45D05 65R20 65M70 PDF BibTeX XML Cite \textit{X. Shi} and \textit{Y. Wei}, Lith. Math. J. 58, No. 1, 75--94 (2018; Zbl 1391.45005) Full Text: DOI
Ervin, V. J.; Heuer, N.; Roop, J. P. Regularity of the solution to 1-D fractional order diffusion equations. (English) Zbl 1394.65145 Math. Comput. 87, No. 313, 2273-2294 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35B65 41A10 33C45 35R11 PDF BibTeX XML Cite \textit{V. J. Ervin} et al., Math. Comput. 87, No. 313, 2273--2294 (2018; Zbl 1394.65145) Full Text: DOI
Yang, Yin; Huang, Yunqing; Zhou, Yong Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods. (English) Zbl 1393.65037 J. Comput. Appl. Math. 339, 389-404 (2018). MSC: 65M70 35R35 65M12 82C31 35Q84 35R11 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Comput. Appl. Math. 339, 389--404 (2018; Zbl 1393.65037) Full Text: DOI
Sazmand, Afsane; Behroozifar, Mahmoud Application Jacobi spectral method for solving the time-fractional differential equation. (English) Zbl 06867142 J. Comput. Appl. Math. 339, 49-68 (2018). MSC: 65-XX 34A08 65M32 33C45 PDF BibTeX XML Cite \textit{A. Sazmand} and \textit{M. Behroozifar}, J. Comput. Appl. Math. 339, 49--68 (2018; Zbl 06867142) Full Text: DOI
Wang, Haiyong; Zhang, Lun Jacobi polynomials on the Bernstein ellipse. (English) Zbl 1398.65322 J. Sci. Comput. 75, No. 1, 457-477 (2018). MSC: 65N35 65D05 41A05 41A25 PDF BibTeX XML Cite \textit{H. Wang} and \textit{L. Zhang}, J. Sci. Comput. 75, No. 1, 457--477 (2018; Zbl 1398.65322) Full Text: DOI arXiv
Luo, Xue Error analysis of the Wiener-Askey polynomial chaos with hyperbolic cross approximation and its application to differential equations with random input. (English) Zbl 1456.65173 J. Comput. Appl. Math. 335, 242-269 (2018). MSC: 65N35 65N75 65N50 65N15 60H35 33C45 34F05 PDF BibTeX XML Cite \textit{X. Luo}, J. Comput. Appl. Math. 335, 242--269 (2018; Zbl 1456.65173) Full Text: DOI
Hou, Dianming; Hasan, Mohammad Tanzil; Xu, Chuanju Müntz spectral methods for the time-fractional diffusion equation. (English) Zbl 1382.65343 Comput. Methods Appl. Math. 18, No. 1, 43-62 (2018). MSC: 65M70 35K05 35R11 65M15 65M12 PDF BibTeX XML Cite \textit{D. Hou} et al., Comput. Methods Appl. Math. 18, No. 1, 43--62 (2018; Zbl 1382.65343) Full Text: DOI
Gheorghiu, Călin-Ioan On the numerical treatment of the eigenparameter dependent boundary conditions. (English) Zbl 1381.65060 Numer. Algorithms 77, No. 1, 77-93 (2018). MSC: 65L15 34L16 65L60 PDF BibTeX XML Cite \textit{C.-I. Gheorghiu}, Numer. Algorithms 77, No. 1, 77--93 (2018; Zbl 1381.65060) Full Text: DOI
Mao, Zhiping; Karniadakis, George Em A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative. (English) Zbl 1422.65428 SIAM J. Numer. Anal. 56, No. 1, 24-49 (2018). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 PDF BibTeX XML Cite \textit{Z. Mao} and \textit{G. E. Karniadakis}, SIAM J. Numer. Anal. 56, No. 1, 24--49 (2018; Zbl 1422.65428) Full Text: DOI
Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R. Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications. (English) Zbl 1415.65177 J. Comput. Phys. 338, 527-566 (2017). MSC: 65L60 65L05 34A08 PDF BibTeX XML Cite \textit{H. Khosravian-Arab} et al., J. Comput. Phys. 338, 527--566 (2017; Zbl 1415.65177) Full Text: DOI
Yang, Yin; Chen, Yanping; Huang, Yunqing; Wei, Huayi Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. (English) Zbl 1412.65168 Comput. Math. Appl. 73, No. 6, 1218-1232 (2017). MSC: 65M70 65M12 35R11 65D05 PDF BibTeX XML Cite \textit{Y. Yang} et al., Comput. Math. Appl. 73, No. 6, 1218--1232 (2017; Zbl 1412.65168) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. (English) Zbl 1412.65162 Comput. Math. Appl. 73, No. 6, 1100-1117 (2017). MSC: 65M70 65M12 35R11 35Q55 65L06 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Comput. Math. Appl. 73, No. 6, 1100--1117 (2017; Zbl 1412.65162) Full Text: DOI
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M. Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. (English) Zbl 1401.65148 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 5, 411-425 (2017). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{M. A. Abdelkawy} et al., Int. J. Nonlinear Sci. Numer. Simul. 18, No. 5, 411--425 (2017; Zbl 1401.65148) Full Text: DOI
Liu, Fu-Jun; Wang, Zhong-Qing; Li, Hui-Yuan A fully diagonalized spectral method using generalized Laguerre functions on the half line. (English) Zbl 1387.76077 Adv. Comput. Math. 43, No. 6, 1227-1259 (2017). MSC: 76M22 33C45 35J25 65L70 PDF BibTeX XML Cite \textit{F.-J. Liu} et al., Adv. Comput. Math. 43, No. 6, 1227--1259 (2017; Zbl 1387.76077) Full Text: DOI
Sheng, Changtao; Shen, Jie A hybrid spectral element method for fractional two-point boundary value problems. (English) Zbl 1413.65307 Numer. Math., Theory Methods Appl. 10, No. 2, 437-464 (2017). MSC: 65L60 65L10 65L70 34A08 PDF BibTeX XML Cite \textit{C. Sheng} and \textit{J. Shen}, Numer. Math., Theory Methods Appl. 10, No. 2, 437--464 (2017; Zbl 1413.65307) Full Text: DOI
Abd-Elhameed, W. M. New spectral solutions for high odd-order boundary value problems via generalized Jacobi polynomials. (English) Zbl 1422.65273 Bull. Malays. Math. Sci. Soc. (2) 40, No. 4, 1393-1412 (2017). MSC: 65M70 65N35 35C10 42C10 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 4, 1393--1412 (2017; Zbl 1422.65273) Full Text: DOI
Hou, Dianming; Xu, Chuanju A fractional spectral method with applications to some singular problems. (English) Zbl 1382.65467 Adv. Comput. Math. 43, No. 5, 911-944 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65L60 65N35 65M70 45K05 41A10 41A25 26A33 35R11 34A08 PDF BibTeX XML Cite \textit{D. Hou} and \textit{C. Xu}, Adv. Comput. Math. 43, No. 5, 911--944 (2017; Zbl 1382.65467) Full Text: DOI
Yang, Shuiping Jacobi spectral collocation method for solving a class of fractional multi-delay differential equations. (Chinese. English summary) Zbl 1413.65311 Math. Numer. Sin. 39, No. 1, 98-114 (2017). MSC: 65L60 65L03 34K28 34K37 65L70 PDF BibTeX XML Cite \textit{S. Yang}, Math. Numer. Sin. 39, No. 1, 98--114 (2017; Zbl 1413.65311)
Zhou, Jianwei; Zhang, Juan; Xie, Huantian; Yang, Yin Error estimates of spectral element methods with generalized Jacobi polynomials on an interval. (English) Zbl 1376.65140 Appl. Math. Lett. 74, 199-206 (2017). MSC: 65N15 65N35 35J25 PDF BibTeX XML Cite \textit{J. Zhou} et al., Appl. Math. Lett. 74, 199--206 (2017; Zbl 1376.65140) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M. Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis. (English) Zbl 1371.65063 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297-310 (2017). MSC: 65L03 34K28 65L60 65L20 65L05 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297--310 (2017; Zbl 1371.65063) Full Text: DOI
Ahmad, Fayyaz; Rehman, Shafiq Ur; Ullah, Malik Zaka; Aljahdali, Hani Moaiteq; Ahmad, Shahid; Alshomrani, Ali Saleh; Carrasco, Juan A.; Ahmad, Shamshad; Sivasankaran, Sivanandam Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs. (English) Zbl 1367.65077 Complexity 2017, Article ID 9407656, 30 p. (2017). MSC: 65H10 65M70 PDF BibTeX XML Cite \textit{F. Ahmad} et al., Complexity 2017, Article ID 9407656, 30 p. (2017; Zbl 1367.65077) Full Text: DOI
Bhrawy, A. H.; Ezz-Eldien, S. S.; Doha, E. H.; Abdelkawy, M. A.; Baleanu, D. Solving fractional optimal control problems within a Chebyshev-Legendre operational technique. (English) Zbl 1370.49027 Int. J. Control 90, No. 6, 1230-1244 (2017). MSC: 49M30 34A08 65M70 33C45 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Int. J. Control 90, No. 6, 1230--1244 (2017; Zbl 1370.49027) Full Text: DOI
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em Petrov-Galerkin and spectral collocation methods for distributed order differential equations. (English) Zbl 1367.65113 SIAM J. Sci. Comput. 39, No. 3, A1003-A1037 (2017). MSC: 65L15 34L16 34A08 65L60 PDF BibTeX XML Cite \textit{E. Kharazmi} et al., SIAM J. Sci. Comput. 39, No. 3, A1003--A1037 (2017; Zbl 1367.65113) Full Text: DOI arXiv
Feng, Xiaobing; Jensen, Max Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. (English) Zbl 1362.65117 SIAM J. Numer. Anal. 55, No. 2, 691-712 (2017). MSC: 65N06 65N12 65N35 35J60 PDF BibTeX XML Cite \textit{X. Feng} and \textit{M. Jensen}, SIAM J. Numer. Anal. 55, No. 2, 691--712 (2017; Zbl 1362.65117) Full Text: DOI
Wang, Zhong-Qing; Guo, Yu-Ling; Yi, Li-Jun An \(hp\)-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels. (English) Zbl 1364.65299 Math. Comput. 86, No. 307, 2285-2324 (2017). MSC: 65R20 45D05 45J05 45E10 PDF BibTeX XML Cite \textit{Z.-Q. Wang} et al., Math. Comput. 86, No. 307, 2285--2324 (2017; Zbl 1364.65299) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations. (English) Zbl 1353.65106 Appl. Numer. Math. 111, 197-218 (2017). MSC: 65M70 35Q55 35R11 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Appl. Numer. Math. 111, 197--218 (2017; Zbl 1353.65106) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. (English) Zbl 1446.65124 Appl. Math. Modelling 40, No. 3, 1703-1716 (2016). MSC: 65M70 35K20 35K57 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 40, No. 3, 1703--1716 (2016; Zbl 1446.65124) Full Text: DOI