Work

Numerical Solution of Fractional Order Differential Equations by Chebyshev Least Squares Approximation Method

Year: 2025

Type: article

Abstract: In this paper, fractional differential equations (FDEs) are solved numerically using the least squares method (LSM). Shifted Chebyshev polynomials are used as the basis functions, and the results are compared with the exact solutions. Several numerical examples are presented to illustrate the theoretical results and are also compared with the outcomes obtained from other numerical methods. It is found that the results of the proposed approximate method converge rapidly to the exact solutions.

Source: Euler Jurnal Ilmiah Matematika Sains dan Teknologi

DOI: 10.37905/euler.v13i1.31034

Authors: Ajimot F. Adebisi, Ohigweren A. Uwaheren, Wasiu A. Oseni, Christie Y. Ishola, Olumuyiwa James Peter

Institutions: Osun State University, University of Ilorin, National Open University of Nigeria

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409788629

FWCI: 2.294

Cites:

Cited by: 3

Related to: 10