Numerical Solution to Volterra-Type Integro-Differential Equations of the Second Kinds by Legendre Collocation Method

Autor: Ting Jing Zhao
Rok vydání: 2014
Předmět:
Zdroj: Applied Mechanics and Materials. :1522-1527
ISSN: 1662-7482
Popis: The purpose of this paper is to propose an efficient numerical method for solving Volterra-type integro-differential equation of the second kinds. This method based on Legendre-Gauss-Radau collocation, which is easy to be implemented especially for nonlinear and possesses high accuracy. Also, the method can be done by proceeding in time step by step. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique, and the results have been compared with the exact solution.
Databáze: OpenAIRE