Unnes Journal of Mathematics
Vol 9 No 2 (2020)

MATRIX APPROACH TO THE DIRECT COMPUTATION METHOD FOR THE SOLUTION OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF THE SECOND KIND WITH DEGENERATE KERNELS

Kamoh, Nathaniel Mahwash (Unknown)
Kumleng, Geoffrey (Unknown)
Sunday, Joshua (Unknown)

Article Info

Publish Date
30 Dec 2020

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

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Journal Info
Unnes Journal of Mathematics
Website

Abbrev

ujm

Publisher

Universitas Negeri Semarang

Subject

Mathematics

Description

Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph ...