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

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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 col- location, Standard collocation points, Integral equations
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	nwokealisi
Date Deposited:	13 Jun 2024 15:23
Last Modified:	13 Jun 2024 15:23
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/18096

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