Das, Pratibhamoy and Natesan, Srinivasan (2015) Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations. In: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 92 (3). pp. 562-578.
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In this paper, we consider a singularly perturbed boundary-value problem for fourth-order ordinary differential equation (ODE) whose highest-order derivative is multiplied by a small perturbation parameter. To solve this ODE, we transform the differential equation into a coupled system of two singularly perturbed ODEs. The classical central difference scheme is used to discretize the system of ODEs on a nonuniform mesh which is generated by equidistribution of a positive monitor function. We have shown that the proposed technique provides first-order accuracy independent of the perturbation parameter. Numerical experiments are provided to validate the theoretical results.
Item Type: | Journal Article |
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Publication: | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Publisher: | TAYLOR & FRANCIS LTD |
Additional Information: | Copyright for this article belongs to the TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND |
Keywords: | 65L10; G.1.7; adaptively generated mesh; uniform convergence; fourth-order ODE; grid equidistribution; singularly perturbed boundary-value problems; boundary layers |
Department/Centre: | Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre |
Date Deposited: | 14 Feb 2015 13:32 |
Last Modified: | 14 Feb 2015 13:32 |
URI: | http://eprints.iisc.ac.in/id/eprint/50801 |
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