An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition. (12th May 2015)

• Record Type: Journal Article
• Authors: Guezane-Lakoud, A.; Bendjazia, N.; Khaldi, R.
• Other Names: Avery Richard I. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-05-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/758410
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition. The analytical solution is represented in the form of series; thus, the n -terms approximate solutions are obtained. The results of the numerical examples are compared with the exact solutions to illustrate the accuracy and the effectivity of this method.