A new numerical scheme for solving system of Volterra integro-differential equation

Loh, Jian Rong and Phang, Chang (2017) A new numerical scheme for solving system of Volterra integro-differential equation. Alexandria Engineering Journal. ISSN 1110-0168

Text AJ 2017 (331) A new numerical scheme for solving system.pdf Restricted to Registered users only Download (598kB) | Request a copy

Abstract

In this article, we apply Genocchi polynomials to solve numerically a system of Volterra integro-differential equations. This is done by approximating functions using Genocchi polynomials and derivatives using Genocchi polynomials operational matrix of integer order derivative. Com-bining approximation with collocation method, the problem is reduced to a system of algebraic equations in terms of Genocchi coefficients of the unknown functions. By solving the Genocchi coefficients, we obtain good approximate functions of the exact solutions of the system. A few numerical examples show that our proposed Genocchi polynomials method achieves better accu-racy compared to some other existing methods.

Item Type:	Article
Uncontrolled Keywords:	System of Volterra integro-differential equations; Genocchi polynomials; Operational matrix of integer order derivative
Subjects:	H Social Sciences > HA Statistics Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mrs. Siti Noraida Miskan
Date Deposited:	06 Jan 2022 04:23
Last Modified:	06 Jan 2022 04:23
URI:	http://eprints.uthm.edu.my/id/eprint/5198

Actions (login required)

View Item