Singh, Anshima; Kumar, Sunil; Vigo-Aguiar, Jesus A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07715679 J. Comput. Appl. Math. 434, Article ID 115338, 19 p. (2023). MSC: 65Mxx 35Rxx 34Axx PDFBibTeX XMLCite \textit{A. Singh} et al., J. Comput. Appl. Math. 434, Article ID 115338, 19 p. (2023; Zbl 07715679) Full Text: DOI
Saha Ray, S. Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations. (English) Zbl 07697400 J. Comput. Appl. Math. 424, Article ID 114971, 30 p. (2023). MSC: 65M70 26A33 65N35 PDFBibTeX XMLCite \textit{S. Saha Ray}, J. Comput. Appl. Math. 424, Article ID 114971, 30 p. (2023; Zbl 07697400) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Solution of space-time tempered fractional diffusion-wave equation using a high-order numerical method. (English) Zbl 1505.65277 J. Comput. Appl. Math. 423, Article ID 114935, 18 p. (2023). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, J. Comput. Appl. Math. 423, Article ID 114935, 18 p. (2023; Zbl 1505.65277) Full Text: DOI
Davaeifar, Sara; Rashidinia, Jalil Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations. (English) Zbl 1501.65157 J. Comput. Appl. Math. 421, Article ID 114831, 23 p. (2023). MSC: 65R20 45B05 45D05 45G15 PDFBibTeX XMLCite \textit{S. Davaeifar} and \textit{J. Rashidinia}, J. Comput. Appl. Math. 421, Article ID 114831, 23 p. (2023; Zbl 1501.65157) Full Text: DOI
Zaheer-ud-Din; Siraj-ul-Islam; Zaman, Sakhi Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations. (English) Zbl 1524.65990 J. Comput. Appl. Math. 413, Article ID 114360, 15 p. (2022). MSC: 65R20 45D05 41A55 45B05 65D32 PDFBibTeX XMLCite \textit{Zaheer-ud-Din} et al., J. Comput. Appl. Math. 413, Article ID 114360, 15 p. (2022; Zbl 1524.65990) Full Text: DOI
Serna-Reyes, Adán J.; Macías-Díaz, J. E. Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system. (English) Zbl 1486.65129 J. Comput. Appl. Math. 404, Article ID 113413, 17 p. (2022). MSC: 65M06 65M12 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{A. J. Serna-Reyes} and \textit{J. E. Macías-Díaz}, J. Comput. Appl. Math. 404, Article ID 113413, 17 p. (2022; Zbl 1486.65129) Full Text: DOI
Zhang, Hui; Liu, Fawang; Jiang, Xiaoyun; Turner, Ian Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087 J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65D32 35L05 86A05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Comput. Appl. Math. 399, Article ID 113712, 15 p. (2022; Zbl 1500.65087) Full Text: DOI
Hu, Hanzhang; Chen, Yanping Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator. (English) Zbl 1476.65241 J. Comput. Appl. Math. 397, Article ID 113647, 19 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 65H10 65N50 35A01 35A02 35Q55 35Q41 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Appl. Math. 397, Article ID 113647, 19 p. (2021; Zbl 1476.65241) Full Text: DOI
Kumar, Kamlesh; Pandey, Rajesh K.; Sultana, Farheen Numerical schemes with convergence for generalized fractional integro-differential equations. (English) Zbl 1460.65089 J. Comput. Appl. Math. 388, Article ID 113318, 19 p. (2021). MSC: 65L05 65L20 34K37 45J05 65R20 PDFBibTeX XMLCite \textit{K. Kumar} et al., J. Comput. Appl. Math. 388, Article ID 113318, 19 p. (2021; Zbl 1460.65089) Full Text: DOI
Manimaran, J.; Shangerganesh, L.; Debbouche, Amar Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. (English) Zbl 1446.65116 J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021). MSC: 65M60 65N30 65M06 65M12 65M15 35R11 26A33 35B45 74H10 PDFBibTeX XMLCite \textit{J. Manimaran} et al., J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021; Zbl 1446.65116) Full Text: DOI
Parvizi, Maryam; Khodadadian, Amirreza; Eslahchi, M. R. Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation. (English) Zbl 1440.65146 J. Comput. Appl. Math. 379, Article ID 112818, 18 p. (2020). MSC: 65M60 65N30 65M06 35Q35 65M12 65M15 PDFBibTeX XMLCite \textit{M. Parvizi} et al., J. Comput. Appl. Math. 379, Article ID 112818, 18 p. (2020; Zbl 1440.65146) Full Text: DOI
Tamminen, Janne P. Detection of time-varying heat sources using an analytic forward model. (English) Zbl 1448.80010 J. Comput. Appl. Math. 379, Article ID 112801, 15 p. (2020). MSC: 80A19 35K20 35R30 80M10 PDFBibTeX XMLCite \textit{J. P. Tamminen}, J. Comput. Appl. Math. 379, Article ID 112801, 15 p. (2020; Zbl 1448.80010) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. (English) Zbl 1433.65233 J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020). MSC: 65M70 65M06 65D32 86A05 86-10 76M99 76T30 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020; Zbl 1433.65233) Full Text: DOI
Hu, Hanzhang; Chen, Yanping Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method. (English) Zbl 1434.65185 J. Comput. Appl. Math. 364, Article ID 112333, 18 p. (2020). MSC: 65M60 65M55 65H10 65M12 35Q41 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Appl. Math. 364, Article ID 112333, 18 p. (2020; Zbl 1434.65185) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives. (English) Zbl 1419.65015 J. Comput. Appl. Math. 356, 314-328 (2019). MSC: 65M06 65M60 65M15 35R11 35R09 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Appl. Math. 356, 314--328 (2019; Zbl 1419.65015) Full Text: DOI
Hashemi, M. S.; Akgül, Ali Solitary wave solutions of time-space nonlinear fractional Schrödinger’s equation: two analytical approaches. (English) Zbl 1392.35286 J. Comput. Appl. Math. 339, 147-160 (2018). MSC: 35Q55 35C08 35R11 PDFBibTeX XMLCite \textit{M. S. Hashemi} and \textit{A. Akgül}, J. Comput. Appl. Math. 339, 147--160 (2018; Zbl 1392.35286) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation. (English) Zbl 1462.76134 J. Comput. Appl. Math. 336, 98-113 (2018). MSC: 76M22 76R50 76V05 26A33 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, J. Comput. Appl. Math. 336, 98--113 (2018; Zbl 1462.76134) Full Text: DOI
Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali On a new family of radial basis functions: mathematical analysis and applications to option pricing. (English) Zbl 1372.65283 J. Comput. Appl. Math. 328, 75-100 (2018). MSC: 65M70 91G60 91G20 PDFBibTeX XMLCite \textit{S.-M.-M. Kazemi} et al., J. Comput. Appl. Math. 328, 75--100 (2018; Zbl 1372.65283) Full Text: DOI
Ilati, Mohammad; Dehghan, Mehdi Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem. (English) Zbl 1371.41024 J. Comput. Appl. Math. 327, 314-324 (2018). MSC: 41A30 65M15 PDFBibTeX XMLCite \textit{M. Ilati} and \textit{M. Dehghan}, J. Comput. Appl. Math. 327, 314--324 (2018; Zbl 1371.41024) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation. (English) Zbl 1417.65180 J. Comput. Appl. Math. 325, 18-33 (2017). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, J. Comput. Appl. Math. 325, 18--33 (2017; Zbl 1417.65180) Full Text: DOI
Cao, Xuenian; Cao, Xianxian; Wen, Liping The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term. (English) Zbl 1357.65149 J. Comput. Appl. Math. 318, 199-210 (2017). MSC: 65M20 35K55 35R11 65M12 65M06 PDFBibTeX XMLCite \textit{X. Cao} et al., J. Comput. Appl. Math. 318, 199--210 (2017; Zbl 1357.65149) Full Text: DOI
Kumar, Kamlesh; Pandey, Rajesh K.; Sharma, Shiva Comparative study of three numerical schemes for fractional integro-differential equations. (English) Zbl 1402.65183 J. Comput. Appl. Math. 315, 287-302 (2017). MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{K. Kumar} et al., J. Comput. Appl. Math. 315, 287--302 (2017; Zbl 1402.65183) Full Text: DOI
Ekomasov, Evgenii G.; Gumerov, Azamat M.; Kudryavtsev, Roman V. Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping. (English) Zbl 1350.35024 J. Comput. Appl. Math. 312, 198-208 (2017). MSC: 35B34 35C08 35Q51 65M06 35L71 PDFBibTeX XMLCite \textit{E. G. Ekomasov} et al., J. Comput. Appl. Math. 312, 198--208 (2017; Zbl 1350.35024) Full Text: DOI
Chadha, Naresh M.; Madden, Niall An optimal time-stepping algorithm for unsteady advection-diffusion problems. (English) Zbl 1330.65129 J. Comput. Appl. Math. 294, 57-77 (2016). MSC: 65M06 35K57 PDFBibTeX XMLCite \textit{N. M. Chadha} and \textit{N. Madden}, J. Comput. Appl. Math. 294, 57--77 (2016; Zbl 1330.65129) Full Text: DOI
Kumar, Rakesh; Baskar, S. B-spline quasi-interpolation based numerical methods for some Sobolev type equations. (English) Zbl 1329.65236 J. Comput. Appl. Math. 292, 41-66 (2016). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{S. Baskar}, J. Comput. Appl. Math. 292, 41--66 (2016; Zbl 1329.65236) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. (English) Zbl 1321.65129 J. Comput. Appl. Math. 290, 174-195 (2015). MSC: 65M06 65M70 35R11 65M12 65M15 35M13 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 290, 174--195 (2015; Zbl 1321.65129) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. (English) Zbl 1315.65086 J. Comput. Appl. Math. 286, 211-231 (2015). MSC: 65M60 35L75 35Q53 65M12 65M15 65M06 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 286, 211--231 (2015; Zbl 1315.65086) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. (English) Zbl 1305.65211 J. Comput. Appl. Math. 280, 14-36 (2015). MSC: 65M70 34A34 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 280, 14--36 (2015; Zbl 1305.65211) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Zhao, Xi-Le; Li, Hou-Biao; Li, Liang Strang-type preconditioners for solving fractional diffusion equations by boundary value methods. (English) Zbl 1302.65212 J. Comput. Appl. Math. 277, 73-86 (2015). MSC: 65M20 35K05 35R11 65M06 65L05 65F08 65F10 65M12 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., J. Comput. Appl. Math. 277, 73--86 (2015; Zbl 1302.65212) Full Text: DOI arXiv
Yin, Fukang; Tian, Tian; Song, Junqiang; Zhu, Min Spectral methods using Legendre wavelets for nonlinear Klein/sine-Gordon equations. (English) Zbl 1334.65175 J. Comput. Appl. Math. 275, 321-334 (2015). MSC: 65M70 65T60 PDFBibTeX XMLCite \textit{F. Yin} et al., J. Comput. Appl. Math. 275, 321--334 (2015; Zbl 1334.65175) Full Text: DOI
Eslahchi, M. R.; Dehghan, Mehdi; Parvizi, M. Application of the collocation method for solving nonlinear fractional integro-differential equations. (English) Zbl 1296.65106 J. Comput. Appl. Math. 257, 105-128 (2014). MSC: 65L60 33C45 44A45 46C99 34A08 PDFBibTeX XMLCite \textit{M. R. Eslahchi} et al., J. Comput. Appl. Math. 257, 105--128 (2014; Zbl 1296.65106) Full Text: DOI
Caplan, R. M.; Carretero-González, R. A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation. (English) Zbl 1291.65258 J. Comput. Appl. Math. 251, 33-46 (2013). MSC: 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{R. M. Caplan} and \textit{R. Carretero-González}, J. Comput. Appl. Math. 251, 33--46 (2013; Zbl 1291.65258) Full Text: DOI arXiv
Lotfi, A.; Yousefi, S. A.; Dehghan, Mehdi Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule. (English) Zbl 1286.49030 J. Comput. Appl. Math. 250, 143-160 (2013). MSC: 49M30 26A33 PDFBibTeX XMLCite \textit{A. Lotfi} et al., J. Comput. Appl. Math. 250, 143--160 (2013; Zbl 1286.49030) Full Text: DOI
Liao, Honglin; Sun, Zhizhong Maximum norm error estimates of efficient difference schemes for second-order wave equations. (English) Zbl 1227.65082 J. Comput. Appl. Math. 235, No. 8, 2217-2233 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 65M06 65M12 35L05 PDFBibTeX XMLCite \textit{H. Liao} and \textit{Z. Sun}, J. Comput. Appl. Math. 235, No. 8, 2217--2233 (2011; Zbl 1227.65082) Full Text: DOI
Lakestani, Mehrdad; Dehghan, Mehdi The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement. (English) Zbl 1200.65076 J. Comput. Appl. Math. 235, No. 3, 669-678 (2010). MSC: 65M32 35K05 35R30 65M70 PDFBibTeX XMLCite \textit{M. Lakestani} and \textit{M. Dehghan}, J. Comput. Appl. Math. 235, No. 3, 669--678 (2010; Zbl 1200.65076) Full Text: DOI