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Mathematical Modelling and Analysis Volume 13, 2008 - Issue 2
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Original Articles

Robust numerical method for a system of singularly perturbed parabolic reaction‐diffusion equations on a rectangle

L. Shishkina Institute of Mathematics and Mechanics, Russian Academy of Sciences, GSP‐384, Ekaterinburg, 620219, Russia E-mail: [email protected]
&
G. Shishkin Institute of Mathematics and Mechanics, Russian Academy of Sciences, GSP‐384, Ekaterinburg, 620219, Russia E-mail: [email protected]
Pages 251-261 | Received 30 Sep 2007, Published online: 14 Oct 2010

Citations (12)

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L. Shishkina & G. Shishkin. (2009) Conservative numerical method for a system of semilinear singularly perturbed parabolic reaction‐diffusion equations. Mathematical Modelling and Analysis 14:2, pages 211-228.
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Articles from other publishers (11)

Satpal Singh & Devendra Kumar. (2023) Parameter uniform numerical method for a system of singularly perturbed parabolic convection–diffusion equations. Mathematics and Computers in Simulation 212, pages 360-381.
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Satpal Singh, Devendra Kumar & J. Vigo-Aguiar. (2023) A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction–diffusion equations. Journal of Mathematical Chemistry 61:6, pages 1313-1350.
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Manikandan Mariappan, Chandru Muthusamy & Higinio Ramos. (2023) Second-Order Robust Numerical Method for a Partially Singularly Perturbed Time-Dependent Reaction–Diffusion System. Mathematics 11:12, pages 2685.
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C. Clavero & J.C. Jorge. (2023) A multi-splitting method to solve 2D parabolic reaction–diffusion singularly perturbed systems. Journal of Computational and Applied Mathematics 417, pages 114569.
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C. Clavero & J. C. Jorge. (2019) An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. Numerical Algorithms 85:3, pages 1005-1027.
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Carmelo Clavero & Juan Carlos Jorge. 2020. Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018. Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 129 141 .
C. Clavero & J. L. Gracia. (2018) Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numerical Algorithms 80:4, pages 1097-1120.
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Li-Bin Liu, Guangqing Long & Yong Zhang. (2018) Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations. Advances in Difference Equations 2018:1.
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Po-Wen Hsieh, Suh-Yuh Yang & Cheng-Shu You. (2018) A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations. Numerical Methods for Partial Differential Equations 34:1, pages 121-144.
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J. L. Gracia, F. J. Lisbona & E. O’Riordan. (2008) A coupled system of singularly perturbed parabolic reaction-diffusion equations. Advances in Computational Mathematics 32:1, pages 43-61.
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E. O’Riordan, J. Stynes & M. Stynes. 2009. Numerical Analysis and Its Applications. Numerical Analysis and Its Applications 104 115 .

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