A Mathematical model to Solve Reaction
Diffusion Equation using Differential
Transformation Method

Rahul Bhadauria; A.K. Singh; D.P Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V2I2P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 2 | Year 2011 | Article Id. IJMTT-V2I2P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I2P506

A Mathematical model to Solve Reaction Diffusion Equation using Differential Transformation Method

Rahul Bhadauria, A.K. Singh, D.P Singh

Abstract

The present work is designed for differential transformation method (DTM) to solve the linear and nonlinear reaction diffusion equations. To illustrate the capability and reliability of the methods, some cases have been defined. The approximate solution of this problem is calculated in the form of a series with easily computable terms and also the exact solutions can be achieved by the known forms of the series solutions. The method can easily be applied to many linear and non-linear problems and is capable of reducing the size of computational work. The results obtained using DTM are compared with the results of variational iteration method (VIM) and MATLAB solutions.

Keywords

reaction diffusion equations, differential transformation method, MATLAB

References

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Citation :

Rahul Bhadauria, A.K. Singh, D.P Singh, "A Mathematical model to Solve Reaction Diffusion Equation using Differential Transformation Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 2, pp. 26-31, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I2P506