Differential transform method for systems of Volterra integral equations of the second kind and comparison with homotopy perturbation method

International Journal of Physical Sciences

Jafar Biazar¹ 

关键词: Differential transform method;    homotopy perturbation method;    systems of Volterra integral equations of the second kind.;   

DOI  :  10.5897/IJPS11.136

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this article, differential transform method was employed to solve Volterra integral equations of the second kind. The procedure of the method is illustrated systematically. In this paper some results useful have been proved for the first time, and they have been used in the solution of these systems. To show the power of this method, some examples have been created (Examples 2 and 3) and solved. The results of them are compared with the results of homotopy perturbation method which has been used to solve the same systems (Biazar and Ghazvini, 2009) by plots. Results of the comparison reveal that, this method is more effective and promising than homotopy perturbation method for Volterra integral equations of the second kind.

【 授权许可】

CC BY