A variational form with Legendre series for linear integral equations

Mostefa NADIR; Belkacem LAKEHALI

doi:10.26637/MJM0601/0007

Abstract

In this work, we seek the approximate solution of integral equations by truncation Legendre series approximation using a variational form for the equation. this one is reduced to a linear system where the solution of this latter gives the Legendre coefficients and thereafter the solution of the equation. The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.

Keywords:

linear integral equations, Legendre polynomials, collocation methods, Sloan approximation

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

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

Pages: 49-52
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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