篇名 | Asymptotic - Numerical Method for Third-Order Singular Perturbation Problems |
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卷期 | 10:3 |
作者 | K. Phaneendra 、 Y. N. Reddy 、 GBSL. Soujanya |
頁次 | 241-248 |
關鍵字 | Fitted numerov method 、 boundary value problem 、 tridiagonal system 、 fitting factor 、 relative error 、 Scopus |
出刊日期 | 201209 |
Abstract: In this paper, a class of third order singularly perturbed boundary value problems with
suitable boundary conditions is considered. The third order boundary value problem is
transformed to asymptotically equivalent second order boundary value problem. This problem
is solved efficiently by using fitted Numerov method. Linear and non-linear examples are
solved to illustrate the method and relative errors with
2
L -norms are presented to support the
method.