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.


35A22 Transform methods (e.g., integral transforms) applied to PDEs
35G45 Boundary value problems for systems of linear higher-order PDEs
65Nxx Numerical methods for partial differential equations, boundary value problems
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