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International Journal of Computer Mathematics Volume 87, 2010 - Issue 6
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Section B

A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients

A. Tamilselvan Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamilnadu, India
&
N. Ramanujam Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamilnadu, IndiaCorrespondence[email protected]
Pages 1374-1388 | Received 10 Jul 2007, Accepted 06 May 2008, Published online: 07 May 2009

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Zhongdi Cen, Aimin Xu, Anbo Le & Li-Bin Liu. (2020) A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems. International Journal of Computer Mathematics 97:5, pages 1058-1086.
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Articles from other publishers (8)

Sonu Bose & Kaushik Mukherjee. (2023) A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh. Computational and Applied Mathematics 42:4.
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Satpal Singh, Renu Choudhary & Devendra Kumar. (2023) An efficient numerical technique for two-parameter singularly perturbed problems having discontinuity in convection coefficient and source term. Computational and Applied Mathematics 42:1.
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Xiongfa Mai, Ciwen Zhu & Libin Liu. (2023) An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient. Networks and Heterogeneous Media 18:4, pages 1528-1538.
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Imiru Takele Daba & Gemechis File Duressa. (2022) Computational method for singularly perturbed parabolic differential equations with discontinuous coefficients and large delay. Heliyon 8:9, pages e10742.
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Deepti Shakti, Jugal Mohapatra, Pratibhamoy Das & Jesus Vigo-Aguiar. (2022) A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion problems with arbitrary small diffusion terms. Journal of Computational and Applied Mathematics 404, pages 113167.
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Srinivasan Natesan & Maneesh K. Singh. (2021) Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers. Computational and Mathematical Methods 3:6.
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Narendra Singh Yadav & Kaushik Mukherjee. (2020) Uniformly Convergent New Hybrid Numerical Method for Singularly Perturbed Parabolic Problems with Interior Layers. International Journal of Applied and Computational Mathematics 6:2.
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Mahabub Basha Pathan & Shanthi Vembu. (2017) A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients and source terms. Calcolo 54:3, pages 1027-1053.
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