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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 1 | Year 2016 | Article Id. IJMTT-V33P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P501

Differential Transform Method to Solve Linear and Non Linear Diffusion Equation


Yogeshwari Patel, Jayesh M. Dhodiya
Abstract

In present paper differential Transform Method (DTM) has been employed to solve the linear and non-linear differential diffusion equation. The result obtain by DTM shows a good agreement with the exact solution obtained by the existing method in literature.

Keywords
Differential Transform Method, Linear & Nonlinear Diffusion Differential Equation.
References

[1] F. Ayaz., On the two-dimensional diff erential transform method." Applied Mathematics and Computation, vol. 143, no. 23, pp. 361 374, 2003. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S0096300 302003685.
[2] M.J. Chang, C.L. Chen, Y.C. Liu. Two dimensional Differential Transform for partial differential equation. Applied Mathematics and computation vol. 121, no. 23, pp. 261 270, 2001.
[3] C.K. Chen, S. H .Ho, “Solving partial differential equation by Two Dimensional Differential Transform,” Applied Mathematics and computation vol. 2, no. 23, pp. 131- 164, 2009.
[4] A.Sadighi,D.D.Ganji, "Exact solutions to nonlinear diffusion equations obtained by the decomposition method." Computer & Mathematics with Application.vol 54 (2007): 1112-1121.
[5] Mohamed-Jawad, Anwar Ja'afar, Cenap Ozel, and Adem Kilicman. "Variational Iteration Method in Solving Evolution Equations." Aip Conference Proceedings. Vol. 1309. No. 1. 2010. Electron Device Lett., vol. 20, pp. 569– 571, Nov. 1999.
[6] Wazwaz, Abdul-Majid. "Exact solutions to nonlinear diffusion equations obtained by the decomposition method." Applied Mathematics and Computation 123.1 (2001): 109-122.
[7] Khyati R. Desai, V. H .Pradhan, “Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation,”vol.3,pp.69-174, April2013.

Citation :

Yogeshwari Patel, Jayesh M. Dhodiya, "Differential Transform Method to Solve Linear and Non Linear Diffusion Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 1, pp. 1-4, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P501

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