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 University of Jos
  • Geoffrey Kumleng
  • Joshua Sunday
Keywords: Fredholm, matrix, direct solution, integro-differential equation, integral

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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Published
2020-12-30
Section
Articles