Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Autor: Farshid Mirzaee, Ali Akbar Hoseini
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 52, Iss 3, Pp 551-555 (2013)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2013.02.004
Popis: A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented. Also, the operational matrix of integration together with Newton-Cotes nodes are utilized to reduce the computation of nonlinear Volterra–Fredholm integral equations into some algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented.
Databáze: Directory of Open Access Journals