A Robust Numerical Method for Singularly Perturbed Third Order Boundary Value Problem with Layer Behaviour

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• 作者：M.K. Mahalik ; ^{513MA102@nitrkl.ac.in" class="auth_mail" title="E-mail the corresponding author} ; J. Mohapatra
• 关键词：Singular perturbation ; Finite difference method ; Grid equidistribution ; Boundary layer.
• 刊名：Procedia Engineering
• 出版年：2015
• 出版时间：2015
• 年：2015
• 卷：127
• 期：Complete
• 页码：258-262
• 全文大小：167 K

文摘

A third order singulary perturbed boundary value problem is considered. The problem is discretized by Newton's divided difference operator on an appropriate non-uniform mesh constructed adaptively by equidistributing a positive monitor function based on the computed solution. Numerical example is provided to show the efficiency of the proposed method.