NUMERICAL SOLUTION OF TWO-DIMENSIONAL PDES BY AN EFFECTIVE MODIFICATION OF THE HOMOTOPY PERTURBATION METHOD

M. Moini
2015 International Journal of Pure and Applied Mathematics  
In this paper, we present the exact solutions of two dimensional partial differential equations(PDEs) by using an efficient modification of the homotopy perturbation method. The feature of this method is its flexibility and ability to solve linear and nonlinear PDEs without the calculation of complicated. Some illustrative examples are given to demonstrate the efficiency and reliability of the method. From the presented examples, we found that the proposed method can be applied to a wide class
more » ... ed to a wide class of linear and nonlinear PDEs.
doi:10.12732/ijpam.v99i2.9 fatcat:2tqfpbotyjbrhcelx7gg32ou6y