Approximate solution of high-order integro-differential equations using radial basis functions

Autor:	Asma MAADADI, Abdelbaki MEROUANI, Azedine RAHMOUNE
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	High-order Integro-differential Equations Radial Basis Functions Collocation Method Legendre-Gauss-Lobatto Nodes And Weights Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Journal of Applied Computer Science & Mathematics, Vol 11, Iss 2, Pp 26-29 (2017)
Druh dokumentu:	article
ISSN:	2066-4273 2066-3129
DOI:	10.4316/JACSM.201702004
Popis:	In this paper, we present a numerical method to solve linear and nonlinear high-order Volterra integro-differential equations. This method is based on interpolating by radial basis functions, using Legendre-Gauss-Lobatto nodes and weights. The proposed method reduces the main problem to linear or nonlinear system of algebraic equations. Some numerical examples illustrate the efficiency of the presented method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d968da9fcf614b2eac8c00187009ec07 Zobrazit plný text záznamu View record in DOAJ