Generalized homotopy method for solving nonlinear differential equations

作者：Vazquez Leal Hector^*

来源：Computational and Applied Mathematics, 2014, 33(1): 275-288.

DOI：10.1007/s40314-013-0060-4

• Homotopy perturbation method
• Nonlinear differential equations

In this paper, a new tool for the solution of nonlinear differential equations is presented. The generalized homotopy method (GHM) provides highly accurate approximations of the differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, two nonlinear problems are solved and compared against other semi-analytic or numerical methods. The obtained results show that GHM is a powerful tool capable to generate highly accurate solutions.

• 出版日期2014-4