Solving system of partial differential equations using variational iteration method with He's polynomials

In the present work, variational iteration method with He's polynomials (VIMHP) is widely proposed to elucidate the linear and nonlinear system of partial differential equations. In the proposed method, variational iteration method is coupled with homotopy perturbation methods using He's polynomials to handle the nonlinear terms. We emphasize the efficiency of this approach by solving two appropriate examples. The significant results for solving the linear and nonlinear coupled system of equations demonstrate the superiority and competence of this approach. The proposed method finds the solution without any restrictive assumptions, discretization, and linearization.