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International Journal of Computer Mathematics Volume 98, 2021 - Issue 1
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Original Articles

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

K. Aarthikaa Department of Mathematics, National Institute of Technology, Tiruchirappalli, IndiaView further author information
,
V. Shanthia Department of Mathematics, National Institute of Technology, Tiruchirappalli, IndiaView further author information
&
Higinio Ramosb Scientific Computing Group, Universidad de Salamanca, Salamanca, Spain;c Escuela Politécnica Superior, Zamora, SpainCorrespondence[email protected]
View further author information
Pages 120-135 | Received 15 Nov 2019, Accepted 14 Feb 2020, Published online: 04 Mar 2020

Citations (6)

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S. Sumit, S. Kumar & M. Kumar. (2022) Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems. International Journal of Computer Mathematics 99:8, pages 1638-1653.
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Articles from other publishers (5)

Ram Shiromani, Vembu Shanthi & J. Vigo‐Aguiar. (2022) A finite difference method for a singularly perturbed 2‐D elliptic convection‐diffusion PDEs on Shishkin‐type meshes with non‐smooth convection and source terms. Mathematical Methods in the Applied Sciences 46:5, pages 5915-5936.
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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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K. Aarthika, V. Shanthi & Higinio Ramos. (2022) A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients. Applied Mathematics and Computation 434, pages 127409.
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Ram Prasad Yadav, Pratima Rai & Kapil K. Sharma. (2022) Non-Symmetric Interior Penalty Galerkin Finite Element Method for a Class of Singularly Perturbed Reaction Diffusion Problems with Discontinuous Data. International Journal of Applied and Computational Mathematics 8:6.
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Sheetal Chawla, Jagbir Singh & Urmil. (2021) An Analysis of the Robust Convergent Method for a Singularly Perturbed Linear System of Reaction–Diffusion Type Having Nonsmooth Data. International Journal of Computational Methods 19:01.
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