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Numerical method for a system of second order singularly perturbed turning point problems | ||
| Journal of Mathematical Modeling | ||
| مقاله 6، دوره 4، شماره 2، اسفند 2016، صفحه 211-232 اصل مقاله (369.98 K) | ||
| نوع مقاله: Research Article | ||
| نویسندگان | ||
| Neelamegam Geetha1؛ Ayyadurai Tamilselvan* 1؛ Joseph Stalin Christy Roja2 | ||
| 1Department of Mathematics, Bharathidasan University, Tamilnadu, India | ||
| 2Department of Mathematics, St. Joseph's college, Tamilnadu, India | ||
| 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. | ||
| کلیدواژهها | ||
| singularly perturbed turning point problems؛ boundary value problems؛ finite difference scheme؛ Shishkin mesh and parameter uniform | ||
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