A Novel Projection Method for Cauchy-Type Systems of Singular Integro-Differential Equations

Saeed Althubiti and Abdelaziz Mennouni
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Saeed Althubiti: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Abdelaziz Mennouni: Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna 05078, Algeria

Mathematics, 2022, vol. 10, issue 15, 1-11

Abstract: This article introduces a new projection method via shifted Legendre polynomials and an efficient procedure for solving a system of integro-differential equations of the Cauchy type. The proposed computational process solves two systems of linear equations. We demonstrate the existence of the solution to the approximate problem and conduct an error analysis. Numerical tests provide theoretical results.

Keywords: Cauchy type; projection approach; integro-differential system; shifted Legendre polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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