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Mathematical Modelling and Analysis Volume 20, 2015 - Issue 5
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Schemes Convergent ϵ-Uniformly for Parabolic Singularly Perturbed Problems with a Degenerating Convective Term and a Discontinuous Source

Carmelo ClaveroIUMA and Department of Applied Mathematics, University of ZaragozaZaragoza, SpainCorrespondence[email protected]
,
Jose Luis GraciaIUMA and Department of Applied Mathematics, University of ZaragozaZaragoza, Spain
,
Grigorii I. ShishkinInstitute of Mathematics and Mechanics, Ural Branch of Russian Academy of SciencesEkaterinburg, Russia
&
Lidia P. ShishkinaInstitute of Mathematics and Mechanics, Ural Branch of Russian Academy of SciencesEkaterinburg, Russia
Pages 641-657 | Received 16 Apr 2015, Published online: 28 Sep 2015

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Aditya Kaushik & Nitika Sharma. (2020) An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers. Journal of Difference Equations and Applications 26:11-12, pages 1450-1470.
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Articles from other publishers (7)

Sanjay Ku Sahoo & Vikas Gupta. (2023) An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer. Mathematics and Computers in Simulation 211, pages 192-213.
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Satpal Singh, Devendra Kumar & Higinio Ramos. (2022) A uniformly convergent quadratic -spline based scheme for singularly perturbed degenerate parabolic problems . Mathematics and Computers in Simulation 195, pages 88-106.
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Anirban Majumdar & Srinivasan Natesan. (2021) Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers. Mathematical Methods in the Applied Sciences 45:5, pages 3039-3057.
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Swati Yadav & Pratima Rai. (2021) An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problem with interior layer. Mathematics and Computers in Simulation 185, pages 733-753.
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Aditya Kaushik, Vijayant Kumar, Manju Sharma & Anil K. Vashishth. (2020) A higher order finite element method with modified graded mesh for singularly perturbed two‐parameter problems. Mathematical Methods in the Applied Sciences 43:15, pages 8644-8656.
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M. Chandru, P. Das & H. Ramos. (2018) Numerical treatment of two-parameter singularly perturbed parabolic convection diffusion problems with non-smooth data. Mathematical Methods in the Applied Sciences 41:14, pages 5359-5387.
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C. Clavero, J.L. Gracia, G.I. Shishkin & L.P. Shishkina. (2017) An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. Journal of Computational and Applied Mathematics 318, pages 634-645.
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