Open AccessNumerical Approach of Linear Volterra Integro-Differential Equations Using Generalized Spline Functions
Author(s) -
Baghdad Science Journal
Publication year - 2012
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.9.4.734-740
Subject(s) - spline (mechanical) , mathematics , volterra integral equation , perfect spline , differential equation , polynomial , extension (predicate logic) , volterra equations , m spline , mathematical analysis , thin plate spline , nonlinear system , integral equation , spline interpolation , computer science , physics , programming language , statistics , quantum mechanics , bilinear interpolation , thermodynamics
This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro-differential equations. The performance of generalized spline functions are illustrated in test examples