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Banach Contraction Method to Solve Partial Integral-differential Equations

Year: 2025

Type: article

Abstract: In this paper, Banach contraction method was used to solve linear and nonlinear partial integra differential equations of Volterra type and compared them with exact solutions to demonstrate accuracy of the proposed method. Results revealed that Banach contraction method is very effective, simple and of a high accuracy to solve higher order Integro -differential equations. Four different examples were solved and compared with exact solutions using mean squared error and absolute error. The tables and figures show convergence of proposed method in solution.

Source: Maǧallaẗ abḥāṯ kulliyyaẗ al-tarbiyaẗ al-asāsiyyaẗ/Mağallaẗ abḥāṯ kulliyyaẗ al-tarbiyaẗ al-asāsiyyaẗ

DOI: 10.33899/berj.2025.vol21.iss4.54257

Authors: Hiba Shuker Mahmood, Ahmed F. Qasim

Institution: University of Mosul

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: University of Mosul

OpenAlex ID: W4417104936

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