Recent development of the homotopy perturbation method. (English) Zbl 1159.34333

Summary: The homotopy perturbation method is extremely accessible to non-mathematicians and engineers. The method decomposes a complex problem under study into a series of simple problems that are easy to be solved. This note gives an elementary introduction to the basic solution procedure of the homotopy perturbation method. Particular attention is paid to constructing a suitable homotopy equation.


34E10 Perturbations, asymptotics of solutions to ordinary differential equations