ACCURATE APPROXIMATE SOLUTION OF CLASSES OF BOUNDARY VALUE PROBLEMS USING MODIFIED DIFFERENTIAL TRANSFORM METHOD

ACCURATE APPROXIMATE SOLUTION OF CLASSES OF BOUNDARY VALUE PROBLEMS USING MODIFIED DIFFERENTIAL TRANSFORM METHOD

S. Al-Ahmad, N. R. Anakira, M. Mamat, A. F. Jameel, R. Alahmad, A. K. Alomari

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Abstract

In this paper, a numerical scheme so-called modi ed di erential transfor- mation method (MDTM) based on di erential transformation method (DTM), Laplace transform and Pad e approximation will be used to obtain accurate approximate solution for a class of boundary value problems (BVP's). The MDTM is employed as an alter- native technique to overcome some di culties in the behavior of the solution and to be valid for a large region. The numerical results obtained demonstrate the applicability and validity of this technique. Numerical comparison is made with existing exact solu- tion.

Keywords

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