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Differential transform method for solving linear and non-linear systems of partial differential equations. (English) Zbl 1227.35018
Summary: In this Letter, we propose a reliable algorithm to develop exact and approximate solutions for the linear and non-linear systems of partial differential equations. The approach rest mainly on two-dimensional differential transform method which is one of the approximate methods. The method can easily be applied to many linear and non-linear problems and is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Several illustrative examples are given to demonstrate the effectiveness of the present method.

35A22Transform methods (PDE)
35G45Boundary value problems for linear higher-order systems of PDE
65NxxNumerical methods for boundary value problems (BVP) of PDE
Full Text: DOI
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