Numerical solution of two-dimensional Fredholm integro-differential equations by Chebyshev integral operational matrix method

• Autorzy: Ishola Christie Yemisi , Taiwo Omotayo Adebayo , Adebisi Ajimot Folasade , Peter Olumuyiwa James

Identyfikatory

DOI

10.17512/jamcm.2022.1.03

• Języki publikacji: EN

Abstrakty

EN

This paper presents the Chebyshev Integral Operational Matrix Method (CIOMM) for the numerical solution of two-dimensional Fredholm Integro-Differential Equations (2D-FIDEs). The process of the method is obtaining the operational matrix of integration by evaluating a 2D integral of 2D Chebyshev polynomial basis functions and assuming approximate solutions of the 2D-FIDEs as a truncated 2D Chebyshev series. This leads to a system of linear algebraic equations which are solved to obtain the values of the unknown constants using Maple 18. Some numerical problems are solved to illustrate the practicability of the method.

Słowa kluczowe

EN

Chebyshev polynomials; operational matrix; two-dimensional; Fredholm integro-differential equations

PL

wielomiany Czebyszewa; macierz operacyjna; modele dwuwymiarowe; równanie całkowo-różniczkowe Fredholma

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 1
• Strony: 29--40
• Opis fizyczny: Bibliogr. 23 poz., rys., tab.

Twórcy

autor

Ishola Christie Yemisi

• Department of Mathematics, National Open University of Nigeria, Abuja, Nigeria

autor

Taiwo Omotayo Adebayo

• Department of Mathematics University of Ilorin, Ilorin, Nigeria

autor

Adebisi Ajimot Folasade

• Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria

autor

Peter Olumuyiwa James

• Department of Mathematics University of Ilorin, Ilorin, Nigeria

Bibliografia

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