2024 : 6 : 17
Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method
Type
JournalPaper
Keywords
Variable-order fractional calculus Quadratic integro-differential equation, Sixth-kind Chebyshev polynomials, Operational matrix, Convergence analysis
Year
2020
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Afshin Babaei ، Hossein Jafari ، ُSeddighe Banihashemi

Abstract

In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integro-differential equations (V-OFNQIDEs). The operational matrix of variable order fractional derivative for sixth-kind Chebyshev polynomials is derived and then, a collocation approach is employed to reduce the V-OFNQIDE to a system of nonlinear algebraic equations. Convergence analysis of the proposed method is evaluated and the rate of convergence is established. Finally, some numerical test examples are investigated to validate the accuracy and robustness of the proposed approach.