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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Nathaniel Mahwash Kamoh
University of Jos
Mathematics

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Matrix Approach To The Direct Computation Method For The Solution of Fredholm Integro-Differential Equations of The Second Kind With Degenerate Kernels Nathaniel Mahwash Kamoh; Geoffrey Kumlengand; Joshua Sunday
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 6, No 3 (2020): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v6i3.8960

Abstract

In this paper, a matrix approach to the direct computation method for solving Fredholm integro-differential equations (FIDEs) of the second kind with degenerate kernels is presented. Our approach consists of reducing the problem to a set of linear algebraic equations by approximating the kernel with a finite sum of products and determining the unknown constants by the matrix approach. The proposed method is simple, efficient and accurate; it approximates the solutions exactly with the closed form solutions. Some problems are considered using maple programme to illustrate the simplicity, efficiency and accuracy of the proposed method.
Co-Authors Geoffrey Kumlengand Joshua Sunday