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Mathematical Modelling and Analysis Volume 14, 2009 - Issue 2
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Original Articles

Conservative numerical method for a system of semilinear singularly perturbed parabolic reaction‐diffusion equations

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 211-228 | Received 16 Nov 2008, Published online: 14 Oct 2010

Citations (11)

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Sunil Kumar & S.Chandra Sekhara Rao. (2017) A robust domain decomposition algorithm for singularly perturbed semilinear systems. International Journal of Computer Mathematics 94:6, pages 1108-1122.
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Articles from other publishers (10)

Narendra Singh Yadav & Kaushik Mukherjee. (2023) Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type. Numerical Algorithms.
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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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Manikandan Mariappan & Ayyadurai Tamilselvan. (2021) Higher order computational method for a singularly perturbed nonlinear system of differential equations. Journal of Applied Mathematics and Computing 68:2, pages 1351-1363.
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S. Chandra Sekhara Rao & Abhay Kumar Chaturvedi. (2021) Pointwise error estimates for a system of two singularly perturbed time‐dependent semilinear reaction–diffusion equations. Mathematical Methods in the Applied Sciences 44:17, pages 13287-13325.
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S. Chandra Sekhara Rao & Sheetal Chawla. (2019) Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction–diffusion equations with boundary and interior layers. Journal of Computational and Applied Mathematics 352, pages 223-239.
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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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Mukesh Kumar & Sunil Kumar. (2012) High order robust approximations for singularly perturbed semilinear systems. Applied Mathematical Modelling 36:8, pages 3570-3579.
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S. C. S. Rao, S. Kumar & M. Kumar. (2011) Uniform Global Convergence of a Hybrid Scheme for Singularly Perturbed Reaction–Diffusion Systems. Journal of Optimization Theory and Applications 151:2, pages 338-352.
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S. Chandra Sekhara Rao & Sunil Kumar. 2011. Numerical Methods and Applications. Numerical Methods and Applications 486 493 .
G. I. Shishkin & L. P. Shishkina. (2010) Conservative finite difference scheme for a singularly perturbed elliptic reaction-diffusion equation: Approximation of solutions and derivatives. Computational Mathematics and Mathematical Physics 50:4, pages 633-645.
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