Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations

Saadatmandi, Abbas and Akhlaghi, Samiye (2020) Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations. Sains Malaysiana, 49 (4). pp. 953-962. ISSN 0126-6039

[img]
Preview
PDF
2MB

Official URL: http://www.ukm.my/jsm/malay_journals/jilid49bil4_2...

Abstract

Fractional integro-differential equations have been the subject of significant interest in science and engineering problems. This paper deals with the numerical solution of classes of fractional Fredholm-Volterra integro-differential equations. The fractional derivative is described in the Caputo sense. We consider a hybrid of block-pulse functions and Bernoulli polynomials to approximate functions. The fractional integral operator for these hybrid functions together with the Legendre-Gauss quadrature is used to reduce the computation of the solution of the problem to a system of algebraic equations. Several examples are given to show the validity and applicability of the proposed computational procedure.

Item Type:Article
Keywords:Bernoulli polynomials; Block-pulse functions; Fractional integro-differential equations; Hybrid functions; Caputo derivative
Journal:Sains Malaysiana
ID Code:15366
Deposited By: ms aida -
Deposited On:13 Oct 2020 01:27
Last Modified:16 Oct 2020 01:23

Repository Staff Only: item control page