Hu, Zhicheng; Li, Guanghan An efficient nonlinear multigrid solver for the simulation of rarefied gas cavity flow. (English) Zbl 07738856 Commun. Comput. Phys. 34, No. 2, 357-391 (2023). MSC: 76M12 76M22 76M20 76P05 65N55 PDF BibTeX XML Cite \textit{Z. Hu} and \textit{G. Li}, Commun. Comput. Phys. 34, No. 2, 357--391 (2023; Zbl 07738856) Full Text: DOI arXiv
Sun, Zeju; Yau, Stephen Shing-Toung Solving nonlinear filtering problems with correlated noise based on Hermite-Galerkin spectral method. (English) Zbl 07732241 Automatica 156, Article ID 111176, 14 p. (2023). MSC: 93E11 93C20 60H15 65M60 65M70 PDF BibTeX XML Cite \textit{Z. Sun} and \textit{S. S. T. Yau}, Automatica 156, Article ID 111176, 14 p. (2023; Zbl 07732241) Full Text: DOI
Kumbinarasaiah, S. A novel approach for multi dimensional fractional coupled Navier-Stokes equation. (English) Zbl 1517.65097 S\(\vec{\text{e}}\)MA J. 80, No. 2, 261-282 (2023). MSC: 65M70 35G50 35Q30 35R11 65T60 PDF BibTeX XML Cite \textit{S. Kumbinarasaiah}, S\(\vec{\text{e}}\)MA J. 80, No. 2, 261--282 (2023; Zbl 1517.65097) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 07713539 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 PDF BibTeX XML Cite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 07713539) Full Text: DOI arXiv
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. (English) Zbl 1514.65182 J. Comput. Appl. Math. 425, Article ID 115033, 15 p. (2023). MSC: 65N30 35B65 41A10 33C45 PDF BibTeX XML Cite \textit{X. Zheng} et al., J. Comput. Appl. Math. 425, Article ID 115033, 15 p. (2023; Zbl 1514.65182) Full Text: DOI arXiv
Pagliantini, Cecilia; Delzanno, Gian Luca; Markidis, Stefano Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space. (English) Zbl 07697005 J. Comput. Phys. 488, Article ID 112252, 28 p. (2023). MSC: 65Mxx 35Qxx 76Mxx PDF BibTeX XML Cite \textit{C. Pagliantini} et al., J. Comput. Phys. 488, Article ID 112252, 28 p. (2023; Zbl 07697005) Full Text: DOI arXiv
Faghih, Amin; Rebelo, Magda A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002 Fract. Calc. Appl. Anal. 26, No. 1, 370-398 (2023). MSC: 45E10 45J05 34K37 33C45 26A33 PDF BibTeX XML Cite \textit{A. Faghih} and \textit{M. Rebelo}, Fract. Calc. Appl. Anal. 26, No. 1, 370--398 (2023; Zbl 1509.45002) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{T. Chou} et al., Appl. Numer. Math. 183, 201--220 (2023; Zbl 1500.65083) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
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: 41A30 76M22 65M70 33C45 65M12 PDF BibTeX XML Cite \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: 34K40 65N35 33C45 PDF BibTeX XML Cite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Kragujevac J. Math. 46, No. 6, 981--996 (2022; Zbl 07661735) Full Text: DOI Link
Marzban, Hamid Reza A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems. (English) Zbl 1505.34101 Chaos Solitons Fractals 158, Article ID 112093, 10 p. (2022). MSC: 34H05 33C45 34A08 26A33 49M25 PDF BibTeX XML Cite \textit{H. R. Marzban}, Chaos Solitons Fractals 158, Article ID 112093, 10 p. (2022; Zbl 1505.34101) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
Tarverdiyeva, V. A. Analytical solution of the Klein-Fock-Gordon equation for the modified Klingberg plus ring shaped potentials. (English. Russian original) Zbl 1515.81096 Russ. Phys. J. 65, No. 2, 226-236 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 29-37 (2022). MSC: 81Q05 35P10 70M20 33C45 81V45 PDF BibTeX XML Cite \textit{V. A. Tarverdiyeva}, Russ. Phys. J. 65, No. 2, 226--236 (2022; Zbl 1515.81096); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 29--37 (2022) Full Text: DOI
Li, Ruo; Lu, Yixiao; Wang, Yanli; Xu, Haoxuan Hermite spectral method for multi-species Boltzmann equation. (English) Zbl 07605610 J. Comput. Phys. 471, Article ID 111650, 29 p. (2022). MSC: 76Pxx 35Qxx 82Cxx PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Phys. 471, Article ID 111650, 29 p. (2022; Zbl 07605610) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{T. M. El-Gindy} et al., J. Appl. Math. Comput. 68, No. 4, 2823--2855 (2022; Zbl 1496.65177) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{K. Rashedi}, Comput. Appl. Math. 41, No. 5, Paper No. 214, 32 p. (2022; Zbl 1513.65339) Full Text: DOI
Yalçın, Elif; Sezer, Mehmet A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds. (English) Zbl 1486.65213 Math. Sci., Springer 16, No. 1, 59-69 (2022). MSC: 65M70 45K05 PDF BibTeX XML Cite \textit{E. Yalçın} and \textit{M. Sezer}, Math. Sci., Springer 16, No. 1, 59--69 (2022; Zbl 1486.65213) 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 PDF BibTeX XML Cite \textit{A. S. Mohamed}, Comput. Methods Differ. Equ. 10, No. 2, 408--418 (2022; Zbl 1499.65761) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 07517167 J. Comput. Phys. 451, Article ID 110881, 28 p. (2022). MSC: 65Mxx 35Qxx 76Xxx PDF BibTeX XML Cite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, J. Comput. Phys. 451, Article ID 110881, 28 p. (2022; Zbl 07517167) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{A. Kumari} and \textit{V. K. Kukreja}, Int. J. Comput. Math. 99, No. 5, 909--923 (2022; Zbl 1499.65562) Full Text: DOI
Filbet, Francis; Xiong, Tao Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. (English) Zbl 1499.76096 Commun. Appl. Math. Comput. 4, No. 1, 34-59 (2022). MSC: 76P05 82C40 65N08 65N35 PDF BibTeX XML Cite \textit{F. Filbet} and \textit{T. Xiong}, Commun. Appl. Math. Comput. 4, No. 1, 34--59 (2022; Zbl 1499.76096) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{T.-j. Wang} and \textit{G. Chai}, Appl. Numer. Math. 174, 17--33 (2022; Zbl 1484.65275) Full Text: DOI
Xia, Mingtao; Shao, Sihong; Chou, Tom A frequency-dependent \(p\)-adaptive technique for spectral methods. (English) Zbl 07516450 J. Comput. Phys. 446, Article ID 110627, 21 p. (2021). MSC: 65Mxx 65Nxx 35Qxx PDF BibTeX XML Cite \textit{M. Xia} et al., J. Comput. Phys. 446, Article ID 110627, 21 p. (2021; Zbl 07516450) Full Text: DOI arXiv
Li, Ruo; Ren, Yinuo; Wang, Yanli Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma. (English) Zbl 07508535 J. Comput. Phys. 434, Article ID 110235, 22 p. (2021). MSC: 65Mxx 82Cxx 35Qxx PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Phys. 434, Article ID 110235, 22 p. (2021; Zbl 07508535) Full Text: DOI arXiv
Yousaf, Aatika; Yaseen, Muhammad A cubic trigonometric B-spline collocation method based on Hermite formula for the numerical solution of the heat equation with classical and non-classical boundary conditions. (English) Zbl 1480.65300 J. Prime Res. Math. 17, No. 2, 95-114 (2021). MSC: 65M70 35B35 65M12 65M15 PDF BibTeX XML Cite \textit{A. Yousaf} and \textit{M. Yaseen}, J. Prime Res. Math. 17, No. 2, 95--114 (2021; Zbl 1480.65300) Full Text: Link
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 PDF BibTeX XML Cite \textit{C. Zhang} et al., Int. J. Comput. Math. 98, No. 10, 2040--2059 (2021; Zbl 1501.65083) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. A. Abdelkawy} et al., Comput. Math. Math. Phys. 61, No. 9, 1432--1443 (2021; Zbl 1478.78053) Full Text: DOI
Ma, Xiao; Zhou, Bo; Xue, Shifeng A meshless Hermite weighted least-square method for piezoelectric structures. (English) Zbl 1508.78015 Appl. Math. Comput. 400, Article ID 126073, 16 p. (2021). MSC: 78M22 65N35 74F15 PDF BibTeX XML Cite \textit{X. Ma} et al., Appl. Math. Comput. 400, Article ID 126073, 16 p. (2021; Zbl 1508.78015) 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 PDF BibTeX XML Cite \textit{M. Xia} et al., SIAM J. Sci. Comput. 43, No. 5, A3244--A3268 (2021; Zbl 1484.65277) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{F. Wang} et al., Appl. Numer. Math. 170, 146--161 (2021; Zbl 1507.65196) Full Text: DOI
Deng, Beichuan; Shen, Jie; Zhuang, Qingqu Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. (English) Zbl 1491.65111 J. Sci. Comput. 88, No. 3, Paper No. 69, 24 p. (2021). MSC: 65M70 65M06 65N35 65L06 65D30 65M12 65M15 35Q55 35Q41 PDF BibTeX XML Cite \textit{B. Deng} et al., J. Sci. Comput. 88, No. 3, Paper No. 69, 24 p. (2021; Zbl 1491.65111) Full Text: DOI
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 PDF BibTeX XML Cite \textit{X. Yu} et al., Numer. Algorithms 88, No. 1, 1--23 (2021; Zbl 1484.65278) 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 PDF BibTeX XML Cite \textit{M. H. Heydari} et al., Math. Methods Appl. Sci. 44, No. 11, 8669--8683 (2021; Zbl 1486.65197) 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 PDF BibTeX XML Cite \textit{J. Wang} et al., Math. Methods Appl. Sci. 44, No. 4, 2892--2913 (2021; Zbl 1495.65183) 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 PDF BibTeX XML Cite \textit{X. Zheng} et al., J. Sci. Comput. 86, No. 3, Paper No. 29, 22 p. (2021; Zbl 1465.65154) 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 PDF BibTeX XML Cite \textit{T. Cui} et al., East Asian J. Appl. Math. 11, No. 1, 43--62 (2021; Zbl 1468.65162) Full Text: DOI
Hyder, Abd-Allah; Soliman, Ahmed H. An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. (English) Zbl 1458.60073 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021). MSC: 60H15 35Q53 65M70 PDF BibTeX XML Cite \textit{A.-A. Hyder} and \textit{A. H. Soliman}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021; Zbl 1458.60073) Full Text: DOI
Yu, Hao; Wu, Boying; Zhang, Dazhi A Hermite spectral method for fractional convection diffusion equations on unbounded domains. (English) Zbl 1480.65301 Int. J. Comput. Math. 97, No. 10, 2142-2163 (2020). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{H. Yu} et al., Int. J. Comput. Math. 97, No. 10, 2142--2163 (2020; Zbl 1480.65301) Full Text: DOI
Mamehrashi, K.; Nemati, A. A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method. (English) Zbl 1490.76162 Int. J. Comput. Math. 97, No. 7, 1529-1544 (2020). MSC: 76M22 49J15 33C45 PDF BibTeX XML Cite \textit{K. Mamehrashi} and \textit{A. Nemati}, Int. J. Comput. Math. 97, No. 7, 1529--1544 (2020; Zbl 1490.76162) Full Text: DOI
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco On the use of Hermite functions for the Vlasov-Poisson system. (English) Zbl 1484.65247 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 143-153 (2020). MSC: 65M70 76X05 33C45 41A58 35Q83 35Q35 PDF BibTeX XML Cite \textit{L. Fatone} et al., Lect. Notes Comput. Sci. Eng. 134, 143--153 (2020; Zbl 1484.65247) Full Text: DOI
Tang, Zhuyan; Tohidi, Emran; He, Fuli Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels. (English) Zbl 1476.34045 Comput. Appl. Math. 39, No. 4, Paper No. 298, 22 p. (2020). MSC: 34A12 74S25 65L60 65L70 33C45 65B99 PDF BibTeX XML Cite \textit{Z. Tang} et al., Comput. Appl. Math. 39, No. 4, Paper No. 298, 22 p. (2020; Zbl 1476.34045) Full Text: DOI
Li, Na; Feng, Lixin The generalized Hermite spectral and pseudospectral methods for solving the problem of numerical differentiation. (English) Zbl 1474.65394 J. Nat. Sci. Heilongjiang Univ. 37, No. 6, 644-652 (2020). MSC: 65M70 65D25 65M30 65M32 PDF BibTeX XML Cite \textit{N. Li} and \textit{L. Feng}, J. Nat. Sci. Heilongjiang Univ. 37, No. 6, 644--652 (2020; Zbl 1474.65394) Full Text: DOI
Cardona, Duván \(L^\infty \)-BMO bounds for pseudo-multipliers associated with the harmonic oscillator. (English) Zbl 1466.81017 Rev. Colomb. Mat. 54, No. 2, 93-108 (2020). MSC: 81Q10 42A45 11P55 PDF BibTeX XML Cite \textit{D. Cardona}, Rev. Colomb. Mat. 54, No. 2, 93--108 (2020; Zbl 1466.81017) Full Text: DOI arXiv
Jiao, Yujian A novel spectral method for Burgers equation on the real line. (English) Zbl 1468.65164 East Asian J. Appl. Math. 10, No. 3, 532-548 (2020). MSC: 65M70 65L06 65M12 41A30 33C45 76M22 35Q35 PDF BibTeX XML Cite \textit{Y. Jiao}, East Asian J. Appl. Math. 10, No. 3, 532--548 (2020; Zbl 1468.65164) 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 1488.65525 Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020). MSC: 65M70 33C45 35Q40 41A55 41A25 65D32 35R09 45K05 45D05 35R11 26A33 65F10 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020; Zbl 1488.65525) Full Text: DOI
Yalçın, Elif; Kürkçü, Ömür Kıvanç; Sezer, Mehmet A matched Hermite-Taylor matrix method to solve the combined partial integro-differential equations having nonlinearity and delay terms. (English) Zbl 1463.65434 Comput. Appl. Math. 39, No. 4, Paper No. 280, 15 p. (2020). MSC: 65R20 45K05 65N35 PDF BibTeX XML Cite \textit{E. Yalçın} et al., Comput. Appl. Math. 39, No. 4, Paper No. 280, 15 p. (2020; Zbl 1463.65434) 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 arXiv
He, Rui; Zhang, Jianming; Suliman; Yang, Le; Lin, Weicheng A new implementation of DRM with dual interpolation boundary face method for Poisson equation. (English) Zbl 1464.65205 Eng. Anal. Bound. Elem. 121, 21-30 (2020). MSC: 65N35 PDF BibTeX XML Cite \textit{R. He} et al., Eng. Anal. Bound. Elem. 121, 21--30 (2020; Zbl 1464.65205) 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 arXiv
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
Aboud, Fatima; Jauberteau, Francois; Moebs, Guy; Robert, Didier Numerical approaches to compute spectra of non-self adjoint operators and quadratic pencils. (English) Zbl 1449.65308 J. Math. Study 53, No. 1, 12-44 (2020). MSC: 65N25 65N06 65N35 PDF BibTeX XML Cite \textit{F. Aboud} et al., J. Math. Study 53, No. 1, 12--44 (2020; Zbl 1449.65308) Full Text: DOI
Li, Ruo; Wang, Yanli; Wang, Yixuan Approximation to singular quadratic collision model in Fokker-Planck-Landau equation. (English) Zbl 1447.65101 SIAM J. Sci. Comput. 42, No. 3, B792-B815 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 82D10 65N35 82C31 35Q84 PDF BibTeX XML Cite \textit{R. Li} et al., SIAM J. Sci. Comput. 42, No. 3, B792--B815 (2020; Zbl 1447.65101) Full Text: DOI arXiv
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 arXiv
Hu, Zhicheng; Cai, Zhenning; Wang, Yanli Numerical simulation of microflows using Hermite spectral methods. (English) Zbl 1428.76188 SIAM J. Sci. Comput. 42, No. 1, B105-B134 (2020). MSC: 76P05 35Q20 82C40 82M99 PDF BibTeX XML Cite \textit{Z. Hu} et al., SIAM J. Sci. Comput. 42, No. 1, B105--B134 (2020; Zbl 1428.76188) Full Text: DOI arXiv
Liu, Yuan; Yu, Xu-hong; Wang, Zhong-qing; Li, Hui-yuan Hermite-Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains. (English) Zbl 1499.65703 Int. J. Comput. Math. 96, No. 5, 950-970 (2019). MSC: 65N35 33C45 41A30 35J25 35J40 65N12 PDF BibTeX XML Cite \textit{Y. Liu} et al., Int. J. Comput. Math. 96, No. 5, 950--970 (2019; Zbl 1499.65703) Full Text: DOI
Hou, Dianming; Azaïez, Mejdi; Xu, Chuanju Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 07418062 Commun. Comput. Phys. 26, No. 5, 1415-1443 (2019). MSC: 65M70 65M06 65N35 33C45 26A33 35R11 65D18 68U05 68U07 PDF BibTeX XML Cite \textit{D. Hou} et al., Commun. Comput. Phys. 26, No. 5, 1415--1443 (2019; Zbl 07418062) Full Text: DOI
Wang, Yanli; Cai, Zhenning Approximation of the Boltzmann collision operator based on Hermite spectral method. (English) Zbl 1453.65367 J. Comput. Phys. 397, Article ID 108815, 23 p. (2019). MSC: 65M70 35Q20 76P05 76M22 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Z. Cai}, J. Comput. Phys. 397, Article ID 108815, 23 p. (2019; Zbl 1453.65367) Full Text: DOI arXiv
Ahmed, Hoda F. Gegenbauer collocation algorithm for solving two-dimensional time-space fractional diffusion equations. (English) Zbl 1463.35012 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 1463.35012) Full Text: DOI
Chaplain, G. J.; Makwana, Mehul P.; Craster, R. V. Rayleigh-Bloch, topological edge and interface waves for structured elastic plates. (English) Zbl 07215426 Wave Motion 86, 162-174 (2019). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{G. J. Chaplain} et al., Wave Motion 86, 162--174 (2019; Zbl 07215426) Full Text: DOI arXiv
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
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
Gileva, Lidiya; Karepova, Evgeniya; Shaydurov, Vladimir The application of a special Hermite finite element coupled with collocation to the diffusion equation. (English) Zbl 1434.65293 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 48-59 (2019). MSC: 65N35 65N30 65N12 PDF BibTeX XML Cite \textit{L. Gileva} et al., Lect. Notes Comput. Sci. 11386, 48--59 (2019; Zbl 1434.65293) Full Text: DOI Link
Sweilam, N. H.; Abou Hasan, M. M. An improved method for nonlinear variable-order equation. (English) Zbl 1480.65294 Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3021-3046 (2019). MSC: 65M70 33C45 35R11 PDF BibTeX XML Cite \textit{N. H. Sweilam} and \textit{M. M. Abou Hasan}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3021--3046 (2019; Zbl 1480.65294) Full Text: DOI
Gopal, Abinand; Trefethen, Lloyd N. Solving Laplace problems with corner singularities via rational functions. (English) Zbl 1431.65223 SIAM J. Numer. Anal. 57, No. 5, 2074-2094 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 41A20 65E05 35J05 65N80 PDF BibTeX XML Cite \textit{A. Gopal} and \textit{L. N. Trefethen}, SIAM J. Numer. Anal. 57, No. 5, 2074--2094 (2019; Zbl 1431.65223) Full Text: DOI arXiv
Ma, Junjie; Duan, Shiyi Spectral Levin-type methods for calculation of generalized Fourier transforms. (English) Zbl 1438.65030 Comput. Appl. Math. 38, No. 3, Paper No. 138, 14 p. (2019). MSC: 65D30 65L60 PDF BibTeX XML Cite \textit{J. Ma} and \textit{S. Duan}, Comput. Appl. Math. 38, No. 3, Paper No. 138, 14 p. (2019; Zbl 1438.65030) 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
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
Gileva, L. V.; Karepova, E. D.; Shaidurov, V. V. A combination of a special Hermite finite element with collocation for a reaction-diffusion type equation. (English) Zbl 1422.65386 Lobachevskii J. Math. 40, No. 4, 459-468 (2019). MSC: 65N30 65N35 35J15 65N12 PDF BibTeX XML Cite \textit{L. V. Gileva} et al., Lobachevskii J. Math. 40, No. 4, 459--468 (2019; Zbl 1422.65386) Full Text: DOI
Ma, Suna; Li, Huiyuan; Zhang, Zhimin Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space. (English) Zbl 1416.65481 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589-1615 (2019). MSC: 65N35 65N25 35Q40 65N15 33C10 PDF BibTeX XML Cite \textit{S. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589--1615 (2019; Zbl 1416.65481) 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
Maleki, Yasaman Optimal scale invariant Wigner spectrum estimation of Gaussian locally self-similar processes using Hermite functions. (English) Zbl 1442.60044 J. Theor. Probab. 32, No. 1, 202-215 (2019). MSC: 60G15 62M15 60G18 PDF BibTeX XML Cite \textit{Y. Maleki}, J. Theor. Probab. 32, No. 1, 202--215 (2019; Zbl 1442.60044) Full Text: DOI arXiv
Lü, Shujuan; Liu, Zeting; Feng, Zhaosheng Hermite spectral method for long-short wave equations. (English) Zbl 1407.65219 Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 941-964 (2019). MSC: 65M70 65M12 35B45 76M22 65M06 65M15 PDF BibTeX XML Cite \textit{S. Lü} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 941--964 (2019; Zbl 1407.65219) Full Text: DOI
Jin, Shiju; Luo, Zhendong A collocation spectral method for two-dimensional Sobolev equations. (English) Zbl 1499.65560 Bound. Value Probl. 2018, Paper No. 83, 13 p. (2018). MSC: 65M70 65M12 35J15 33C45 65D05 41A58 PDF BibTeX XML Cite \textit{S. Jin} and \textit{Z. Luo}, Bound. Value Probl. 2018, Paper No. 83, 13 p. (2018; Zbl 1499.65560) Full Text: DOI
Jiao, Yujian; Wang, Tianjun; Shi, Xiandong; Liu, Wenjie Mixed Jacobi-Fourier spectral method for Fisher equation. (English) Zbl 1499.35356 Math. Model. Anal. 23, No. 2, 240-261 (2018). MSC: 35K58 33C45 35K20 PDF BibTeX XML Cite \textit{Y. Jiao} et al., Math. Model. Anal. 23, No. 2, 240--261 (2018; Zbl 1499.35356) Full Text: DOI
Deilami, Azodi Haman Using shifted Legendre scaling functions for solving fractional biochemical reaction problem. (English) Zbl 1499.92027 Casp. J. Math. Sci. 7, No. 1, 88-101 (2018). MSC: 92C40 34A34 34A08 33C45 65N35 PDF BibTeX XML Cite \textit{A. H. Deilami}, Casp. J. Math. Sci. 7, No. 1, 88--101 (2018; Zbl 1499.92027) Full Text: DOI
Bassuony, Mahmoud A.; Abd-Elhameed, Waleed Mohamed; Doha, Eid H.; Youssri, Youssri Hassan A Legendre-Laguerre-Galerkin method for uniform Euler-Bernoulli beam equation. (English) Zbl 1468.65160 East Asian J. Appl. Math. 8, No. 2, 280-295 (2018). MSC: 65M70 65M60 33C45 42C10 74H45 74K10 35Q74 PDF BibTeX XML Cite \textit{M. A. Bassuony} et al., East Asian J. Appl. Math. 8, No. 2, 280--295 (2018; Zbl 1468.65160) Full Text: DOI Link
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
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
Mizerová, Hana; She, Bangwei A conservative scheme for the Fokker-Planck equation with applications to viscoelastic polymeric fluids. (English) Zbl 1416.65355 J. Comput. Phys. 374, 941-953 (2018). MSC: 65M60 76M10 76M22 35Q84 PDF BibTeX XML Cite \textit{H. Mizerová} and \textit{B. She}, J. Comput. Phys. 374, 941--953 (2018; Zbl 1416.65355) Full Text: DOI