Solving linear integral equations with Fibonacci polynomials

Mostefa NADIR

doi:10.26637/MJM0604/0001

Abstract

The goal of this work is to seek an approximate solution of Fredholm and Volterra integral equations using Fibonacci polynomials with hat basis functions, in order to obtain a variational problem and reduce this one to a linear system, where its solution is to find the Fibonacci coefficients of the unknown function and thereafter the solution of the equation. The convergence of this method is assured and the high accuracy of the error estimation is compared with other numerical methods.

Keywords:

Linear integral equations, Fibonacci polynomials, collocation methods, Sloan approximation

Mathematics Subject Classification:

Mathematics

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Mostefa NADIR Department of Mathematics, University of Msila, Algeria.

Pages: 711-715
Date Published: 01-10-2018
Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)

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