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Recurrence Method for Solving Singularly Perturbed Boundary Value Problems

Authors


  • Supported by the Natural Science Foundation of China (No.10571142)

Address for correspondence: Bin Lin, School of Information Science and Technology, Zhanjiang Normal University, 524048 Zhanjiang, China; e-mail: linbin167@163.com

Abstract

We base on Taylor series expansions to construct the numerical method for solving singularly perturbed boundary value problems. We use the trapezoid method to approximate the integrals and obtain three-term recurrence relationship. The efficiency of the proposed method is demonstrated by test problems. The numerical result is found in a good agreement with exact solution.

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