The Application of Homotopy Perturbation Method: An Overview

As an effective method for solving linear and nonlinear equations, the homotopy perturbation is usually applied to relevant problems. We analyze 74 studies on application of present a comprehensive review them with conclusion obtained: (1) Homotopy generally problems ordinary differential equations; (2) combined technology transform when it used solve more complicated (3) By comparing other similar methods, many researchers sought that rapidly convergent, highly accurate, computational simple; (4) Some point out applied, some parameters including number terms, time span, step must be prescribed carefully. Finally, two suggestions further study HPM are provided.