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All Journal Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Adebisi, Ajimot F.
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Computer Science & IT Mathematics

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Journal : Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

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Numerical Solution of Fractional Order Differential Equations by Chebyshev Least Squares Approximation Method Adebisi, Ajimot F.; Uwaheren, Ohigweren A.; Oseni, Wasiu A.; Ishola, Christie Y.; Peter, Olumuyiwa James
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 1 April 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i1.31034

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.
Co-Authors Ishola, Christie Y. Oseni, Wasiu A. Peter, Olumuyiwa James Uwaheren, Ohigweren A.