numerical method for a system of second order singularly perturbed turning point problems
نویسندگان
چکیده
in this paper, a parameter uniform numerical method based on shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. it is assumed that both equations have a turning point at the same point. an appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on this mesh. an error estimate is derived by using supremum norm which is $o(n^{-1}(ln n)^2)$. numerical examples are given to validate theoretical results.
منابع مشابه
Numerical method for a system of second order singularly perturbed turning point problems
In this paper, a parameter uniform numerical method based on Shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. It is assumed that both equations have a turning point at the same point. An appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on t...
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عنوان ژورنال:
journal of mathematical modelingجلد ۴، شماره ۲، صفحات ۲۱۱-۲۳۲
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