MODIFIED DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING CLASSES OF NON-LINEAR DIFFERENTIAL EQUATIONS

MODIFIED DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING CLASSES OF NON-LINEAR DIFFERENTIAL EQUATIONS

S. Alahmad, N. R. Anakira, M. Mamat, I. Sulaiman, R. Alahmad

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Abstract

In this research article, a numerical scheme namely modi ed di erential transformation method (MDTM) is employed successfully to obtain accurate approx- imate solutions for classes of nonlinear di erential equations. This scheme based on di erential transform method (DTM), Laplace transform and Pad e approximants. Va- lidity and e ciency of MDTM are tested upon several examples and comparisons.are made to demonstrate that. The results lead to conclude that the MDTM is e ective, explicit and easy to use.

Keywords

Boundary value problems, Di erential transform method, Laplace transform, Pad e approximants.