THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR
2010 ◽
Vol 07
(04)
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pp. 573-594
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Keyword(s):
In this article, we consider a defect-correction method based on finite difference scheme for solving a singularly perturbed delay differential equation. We solve the equation using upwind finite difference scheme on piecewise-uniform Shishkin mesh, then apply the defect-correction technique that combines the stability of the upwind scheme and the higher-order central difference scheme. The method is shown to be convergent uniformly in the perturbation parameter and almost second-order convergence measured in the discrete maximum norm is obtained. Numerical results are presented, which are in agreement with the theoretical findings.
2010 ◽
Vol 3
(1)
◽
pp. 1-22
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2017 ◽
Vol 8
(4)
◽
pp. 663-671
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2010 ◽
Vol 87
(1)
◽
pp. 173-185
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2010 ◽
Vol 234
(12)
◽
pp. 3445-3457
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2021 ◽
Vol 20
(1)
◽
pp. 5-16
2019 ◽
Vol 61
(1-2)
◽
pp. 73-86
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