Exact Solution for a Class of Stiff Systems by Differential Transform Method

Affiliation(s)

City University of Science and Information Technology, Peshawar, Pakistan.

Edwardes College, Peshawar, Pakistan.

University of Malakand, Chakdara Dir (Lower), Pakistan.

City University of Science and Information Technology, Peshawar, Pakistan.

Edwardes College, Peshawar, Pakistan.

University of Malakand, Chakdara Dir (Lower), Pakistan.

Abstract

In this paper, Differential Transform Method (DTM) is proposed for the closed form solution of linear and non-linear stiff systems. First, we apply DTM to find the series solution which can be easily converted into exact solution. The method is described and illustrated with different examples and figures are plotted accordingly. The obtained result confirm that DTM is very easy, effective and convenient.

In this paper, Differential Transform Method (DTM) is proposed for the closed form solution of linear and non-linear stiff systems. First, we apply DTM to find the series solution which can be easily converted into exact solution. The method is described and illustrated with different examples and figures are plotted accordingly. The obtained result confirm that DTM is very easy, effective and convenient.

Cite this paper

M. Idrees, F. Mabood, A. Ali and G. Zaman, "Exact Solution for a Class of Stiff Systems by Differential Transform Method,"*Applied Mathematics*, Vol. 4 No. 3, 2013, pp. 440-444. doi: 10.4236/am.2013.43065.

M. Idrees, F. Mabood, A. Ali and G. Zaman, "Exact Solution for a Class of Stiff Systems by Differential Transform Method,"

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