Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method

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DOĞAN N., Ertürk V. S., AKIN Ö.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, vol.2012, 2012 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 2012
• Publication Date: 2012
• Doi Number: 10.1155/2012/579431
• Journal Name: DISCRETE DYNAMICS IN NATURE AND SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Ondokuz Mayıs University Affiliated: Yes

Abstract

Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient for solving a large number of linear singularly perturbed two-point boundary value problems with high accuracy.