Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem

Al-Bugami, A. M. and Pellicane, Giuseppe (2021) Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem. Advances in Mathematical Physics, 2021. pp. 1-16. ISSN 1687-9120

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Abstract

In this article, an effective method is given to solve nonlinear two-dimensional Volterra integral equations of the second kind, which is arising from torsion problem for a long bar that consists of the nonlinear viscoelastic material type with a fixed elliptical cross section. First, the existence of a unique solution of this problem is discussed, and then, we find the solution of a nonlinear two-dimensional Volterra integral equation (NT-DVIE) using block-by-block method (B-by-BM) and degenerate kernel method (DKM). Numerical examples are presented, and their results are compared with the analytical solution to demonstrate the validity and applicability of the method.

Item Type: Article
Subjects: Academic Digital Library > Mathematical Science
Depositing User: Unnamed user with email info@academicdigitallibrary.org
Date Deposited: 27 Dec 2022 05:55
Last Modified: 08 Nov 2023 08:57
URI: http://publications.article4sub.com/id/eprint/73

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