polynomial collocation method for initial value problem of mixed integro-differential equations

Osilagun, J.A. and Adesanya, A.O. and Anake, T. A. and Adamu, Samuel (2023) polynomial collocation method for initial value problem of mixed integro-differential equations. Mathematics and Computational Sciences, 4 (2). pp. 1-12. ISSN 2717-2708

PDF Download (410kB)

Abstract

This paper presents the development and implementation of a numerical method for the solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations (MFVIDEs). The new technique transformed MFVIDEs into an integral equation which is then approximated using a polynomial collocation method. Standard collocation points are then used to convert the problem into a system of algebraic equations. Some numerical examples are used to test the efficiency of the method. The results show that the new method is efficient, accurate and easy to implement.

Item Type:	Article
Uncontrolled Keywords:	One dimensional Fredholm-Volterra equations, Integro-differential equations, Polynomial collocation, Standard collocation points, Integral equations 2020 Mathematics Subject Classification: 45J05, 65R20, 34D20, 34A12
Subjects:	G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	ORIGHOEYEGHA
Date Deposited:	02 Aug 2024 11:52
Last Modified:	02 Aug 2024 11:52
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/18353

Actions (login required)

View Item