The non-classical solution of the inhomogeneous non-linear diffusion equation
Applied Mathematics and Computation
Solving partial differential equations by two-dimensional differential transform method
Applied Mathematics and Computation
Two-dimensional differential transform for partial differential equations
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics
Solutions of two-dimensional integral equation systems by using differential transform method
AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications
Computers & Mathematics with Applications
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In this paper, two-dimensional differential transform method of solution of the initial value problem for partial differential equations (PDEs) have been studied. New theorems have been added and some linear and nonlinear PDEs solved by using this method. The method can be easily applied to linear or nonlinear problems and is capable of reducing the size of computational work. In this work, additionally, analytical form solutions of two diffusion problems have been obtained and the solutions are compared very well with those obtained by decomposition method.