A new method for solving boundary value problem of partial differential equations

摘要

In this paper, we propose a symmetry-homotopy hybrid algorithm to solve boundary value problem of a partial differential equations. We are interesting to consider each other complementariness of both homotopy perturbation method(HPM) and symmetry method to solve boundary value problem of a partial differential equations. In this algorithm, the multiparameter symmetries of a given pprfal differential equations provide the reductions of the boundary value problem to a initial value problem of the reduced original differential equation(ODE). The reduction is conaner by properly selection of the symmetry parameters. Then homotopy perturbation method gives the solutions of the initial value problem. Consequently, we solve the boundary value problem by combination of two methods.