Work

Approximation Solution for Initial Value Problem of Singularly Perturbed Integro-Differential Equation

Year: 2024

Type: article

Abstract: Adomian decomposition method (ADM) is used to approximately solve the initial value problem of the singularly perturbed Volterra and Fredholm differential equation. With this method, the desired accurate results are obtained in only a few terms. The approach is simple and effective. An example application is made to demonstrate the effectiveness of ADM. The result obtained is compared with the exact solution. Convergence analysis of the method was performed.

Source: Bitlis Eren Üniversitesi Fen Bilimleri Dergisi

DOI: 10.17798/bitlisfen.1481490

Author: Derya Arslan

Institution: Bitlis Eren University

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402653115

FWCI:

Cites: 20

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Related to: 10