In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, three nonlinear problems are solved and compared against other semi-analytic methods or numerical methods. The obtained results show that GHM is a powerful tool, capable to generate highly accurate rational solutions. AMS subject classification 34L30.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4463959 | PMC |
| http://dx.doi.org/10.1186/s40064-015-1011-x | DOI Listing |
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