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Kamoh, Nathaniel Mahwash
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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 Kamoh, Nathaniel Mahwash; Kumleng, Geoffrey; Sunday, Joshua
Unnes Journal of Mathematics Vol 9 No 2 (2020)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v9i2.38614

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 Kumleng, Geoffrey Sunday, Joshua