Kumar, Saurabh; Gupta, Vikas Collocation method with Lagrange polynomials for variable-order time-fractional advection-diffusion problems. (English) Zbl 07823736 Math. Methods Appl. Sci. 47, No. 2, 1113-1131 (2024). MSC: 35R11 65M12 65N35 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{V. Gupta}, Math. Methods Appl. Sci. 47, No. 2, 1113--1131 (2024; Zbl 07823736) Full Text: DOI
Saldır, Onur; Giyas Sakar, Mehmet An effective approach for numerical solution of linear and nonlinear singular boundary value problems. (English) Zbl 1527.65059 Math. Methods Appl. Sci. 46, No. 1, 1395-1410 (2023). MSC: 65L10 34B16 42C10 47B32 PDFBibTeX XMLCite \textit{O. Saldır} and \textit{M. Giyas Sakar}, Math. Methods Appl. Sci. 46, No. 1, 1395--1410 (2023; Zbl 1527.65059) Full Text: DOI
Kumar, Saurabh; Gupta, Vikas An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations. (English) Zbl 07676658 J. Appl. Math. Comput. 69, No. 1, 251-272 (2023). MSC: 65Mxx 26Axx 65Rxx PDFBibTeX XMLCite \textit{S. Kumar} and \textit{V. Gupta}, J. Appl. Math. Comput. 69, No. 1, 251--272 (2023; Zbl 07676658) Full Text: DOI
Sahoo, Sanjay Ku; Gupta, Vikas A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem. (English) Zbl 07674330 Comput. Math. Appl. 137, 126-146 (2023). MSC: 65M06 65M12 35B25 34E15 26A33 PDFBibTeX XMLCite \textit{S. K. Sahoo} and \textit{V. Gupta}, Comput. Math. Appl. 137, 126--146 (2023; Zbl 07674330) Full Text: DOI
Shakti, Deepti; Mohapatra, Jugal; Das, Pratibhamoy; Vigo-Aguiar, Jesus A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms. (English) Zbl 1503.65184 J. Comput. Appl. Math. 404, Article ID 113167, 16 p. (2022). MSC: 65M06 35B25 35B50 35B51 35K51 35K57 65M15 PDFBibTeX XMLCite \textit{D. Shakti} et al., J. Comput. Appl. Math. 404, Article ID 113167, 16 p. (2022; Zbl 1503.65184) Full Text: DOI
Cheng, Xiujun A three-level implicit difference scheme for solving the inviscid Burgers’ equation with time delay. (English) Zbl 1480.65206 J. Difference Equ. Appl. 27, No. 8, 1218-1231 (2021). MSC: 65M06 65N06 65M12 65D05 35Q53 35R07 PDFBibTeX XMLCite \textit{X. Cheng}, J. Difference Equ. Appl. 27, No. 8, 1218--1231 (2021; Zbl 1480.65206) Full Text: DOI
Bialecki, Bernard; Fisher, Nick Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers’ equation in one space variable. (English) Zbl 1405.65131 J. Difference Equ. Appl. 24, No. 10, 1621-1642 (2018). MSC: 65M70 65M12 35Q53 65M15 65D07 65M06 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{N. Fisher}, J. Difference Equ. Appl. 24, No. 10, 1621--1642 (2018; Zbl 1405.65131) Full Text: DOI