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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations
Type
JournalPaper
Keywords
Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations
Year
2022
Journal Journal of Mathematics
DOI
Researchers Mostafa Eslami ، - - ، Mashallah Matinfar

Abstract

This work concerns the numerical solutions of a category of nonlinear and linear time-fractional partial differential equations (TFPDEs) that are called time-fractional inhomogeneous KdV and nonlinear time-fractional KdV equations, respectively. The fractional derivative operators are of the Caputo type. Two-variable second-kind Chebyshev wavelets (SKCWs) are constructed using one-variable ones; then, utilizing corresponding integral operational matrices leads to an approximate solution to the problem under study. Also, it is found that the perturbation term tends to zero even if a finite number of the basis functions is adopted. To exhibit the applicability and efficiency of the proposed scheme, two models of the KdV equations are given.