Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 2(6), pp. 93 - 99
DOI: 10.13189/ujmcj.2014.020601
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An Application of Differential Transform Method in Singular Perturbation Problems

Essam. R. El-Zahar ^1,2,*, Ehab. A. El-Sayed ^1,3, Hamza. M. Habib ^2
1 Department of Mathematics, College of Sciences and Humanities, Salman bin Abdulaziz University, KSA
² Department of Basic Engineering Science, Faculty of Engineering, Shebin El-Kom, Menofia University, Egypt
³ Department of Science and Mathematics, Faculty of Petroleum and Mining Engineering, Suez Canal University, Egypt

ABSTRACT

In this paper, the differential transform method is used to find approximate analytical and numerical solutions of singular perturbation problems. The principle of the method is briefly introduced and then applied for solving two mathematical models of stiff initial value singular perturbation problems. The results are then compared with the exact solutions to demonstrate the reliability and efficiency of the method in solving the considered problems.

KEYWORDS
Differential Transform Method, Singular Perturbation Problems, Stiff Problems

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Essam. R. El-Zahar , Ehab. A. El-Sayed , Hamza. M. Habib , "An Application of Differential Transform Method in Singular Perturbation Problems," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 2, No. 6, pp. 93 - 99, 2014. DOI: 10.13189/ujmcj.2014.020601.

(b). APA Format:
Essam. R. El-Zahar , Ehab. A. El-Sayed , Hamza. M. Habib (2014). An Application of Differential Transform Method in Singular Perturbation Problems. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 2(6), 93 - 99. DOI: 10.13189/ujmcj.2014.020601.