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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kumar, Devendra | - |
dc.date.accessioned | 2023-07-22T04:34:47Z | - |
dc.date.available | 2023-07-22T04:34:47Z | - |
dc.date.issued | 2020-08 | - |
dc.identifier.uri | https://www.tandfonline.com/doi/full/10.1080/00207160.2020.1802016 | - |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10963 | - |
dc.description.abstract | A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs) whose solution exhibits either twin boundary layers near both endpoints of the interval of consideration or an interior layer near the turning point. To resolve the boundary/interior layer(s) trigonometric quintic B-spline basis functions are used with a piecewise-uniform mesh generated with the help of a transition parameter that separates the layer and regular regions. The proposed method reduces the problem into a system of algebraic equations which can be written in matrix form with the penta-diagonal coefficient matrix. The well-known fast penta-diagonal system solver algorithm is used to solve the system. The method is shown almost fourth-order convergent irrespective of the size of the diffusion parameter ϵ. The theoretical error bounds are verified by taking some relevant test examples computationally. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Boundary layers | en_US |
dc.subject | Interior layers | en_US |
dc.subject | Shishkin-type mesh | en_US |
dc.title | Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems | en_US |
dc.type | Article | en_US |
Appears in Collections: | Department of Mathematics |
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