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International Journal of Computer Mathematics Volume 99, 2022 - Issue 8
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Research Article

Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems

S. Sumita Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, IndiaCorrespondence[email protected]
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,
S. Kumara Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi, Varanasi, Uttar Pradesh, IndiaView further author information
&
M. Kumarb Department of Mathematics, College of Charleston, Charleston, SC, USAView further author information
Pages 1638-1653 | Received 15 Dec 2020, Accepted 16 Oct 2021, Published online: 18 Nov 2021

Citations (5)

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Kuldeep & Sunil Kumar. (2022) An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems. Journal of Difference Equations and Applications 28:5, pages 676-694.
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Articles from other publishers (4)

Anshima Singh, Sunil Kumar & Jesus Vigo‐Aguiar. (2023) On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients. Mathematical Methods in the Applied Sciences 47:1, pages 268-296.
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Solomon Woldu Worku & Gemechis File Duressa. (2023) A Numerical Approach for Diffusion-Dominant Two-Parameter Singularly Perturbed Delay Parabolic Differential Equations. International Journal of Mathematics and Mathematical Sciences 2023, pages 1-17.
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Anshima Singh, Sunil Kumar & Jesus Vigo‐Aguiar. (2023) High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations. Mathematical Methods in the Applied Sciences 46:16, pages 16521-16541.
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Şuayip TOPRAKSEVEN. (2023) Optimal order uniform convergence of weak Galerkin finite element method on Bakhvalov-type meshes for singularly perturbed convection dominated problems. Hacettepe Journal of Mathematics and Statistics 52:4, pages 850-875.
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