The Application of Homotopy Perturbation Method to the Solution of Non-Linear Partial Differential Equations (2310.19525v1)

Abstract: In this study, a thorough investigation was conducted into the Homotopy Perturbation Method (HPM) and its application to solve the Burger and Blasius equations. The HPM is a mathematical technique that combines aspects of homotopy and perturbation methods. By introducing an auxiliary parameter, the complex problems were transformed into a series of simpler equations that could be solved step by step. The results of the study are significant. The HPM was found to be effective in solving the Burger and Blasius equations quickly and accurately. It proved to be a valuable tool for handling challenging mathematical problems. Consequently, researchers encountering seemingly impossible math puzzles can consider employing HPM as a potential solution.