Accurate approximate solution of classes of boundary value problems using modified differential transform method

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS(2022)

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Abstract
In this paper, a numerical scheme so-called modified differential transfor-mation method (MDTM) based on differential transformation method (DTM), Laplace transform and Pade 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 difficulties 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.
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Key words
Boundary value problems, Differential transform method, Laplace transform, Pade approximants
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