Numerical treatment of singularly perturbed two-point boundary value problems by using differential transformation method.

*(English)*Zbl 1244.65119Summary: A 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.

##### MSC:

65L99 | Numerical methods for ordinary differential equations |

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\textit{N. Doğan} et al., Discrete Dyn. Nat. Soc. 2012, Article ID 579431, 10 p. (2012; Zbl 1244.65119)

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