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Modified simple equation method for nonlinear evolution equations. (English) Zbl 1201.65119
Summary: This paper reflects the implementation of a reliable technique which is called modified simple equation method (MSEM) for solving evolution equations. The proposed algorithm has been successfully tested on two very important evolution equations namely Fitzhugh-Nagumo equation and Sharma-Tasso-Olver equation. Numerical results are very encouraging.

##### MSC:
 65L05 Initial value problems for ODE (numerical methods) 34A25 Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.) 34A34 Nonlinear ODE and systems, general 65M70 Spectral, collocation and related methods (IVP of PDE) 35Q92 PDEs in connection with biology and other natural sciences 35Q40 PDEs in connection with quantum mechanics
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##### References:
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