Work

Numerical Solution of Linear Integro-Differential Equations

Year: 2008

Type: article

Abstract: Problem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to carry out the computations. Conclusion/Recommendations: From now we can use HAM as a novel solver for linear Integro-differential equations.

Source: Journal of Mathematics and Statistics

DOI: 10.3844/jmssp.2008.250.254

Authors: Husein Jaradat, Omar Alsayyed, S. Al-Shara

Institutions: Al-Zaytoonah University of Jordan, Al al-Bayt University, Tafila Technical University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W2108229014

FWCI: 1.103

Cites: 16

Cited by: 30

Related to: 10