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Gracia, J.L., Clavero, C. (2006) A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems. Journal of Computational and Applied Mathematics, 192 (1). 152-167 doi:10.1016/j.cam.2005.04.056

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Reference TypeJournal (article/letter/editorial)
TitleA compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems
JournalJournal of Computational and Applied Mathematics
AuthorsGracia, J.L.Author
Clavero, C.Author
Year2006 (July)Volume192
Issue1
PublisherElsevier BV
DOIdoi:10.1016/j.cam.2005.04.056Search in ResearchGate
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Mindat Ref. ID9494329Long-form Identifiermindat:1:5:9494329:4
GUID0
Full ReferenceGracia, J.L., Clavero, C. (2006) A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems. Journal of Computational and Applied Mathematics, 192 (1). 152-167 doi:10.1016/j.cam.2005.04.056
Plain TextGracia, J.L., Clavero, C. (2006) A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems. Journal of Computational and Applied Mathematics, 192 (1). 152-167 doi:10.1016/j.cam.2005.04.056
In(2006, July) Journal of Computational and Applied Mathematics Vol. 192 (1) Elsevier BV

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Clavero, C., Gracia, J.L., Lisbona, F.J. (2010) An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems. Journal of Computational and Applied Mathematics, 234 (8). 2501-2515 doi:10.1016/j.cam.2010.03.011
Clavero, C., Gracia, J.L. (2013) A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction–diffusion parabolic problems. Journal of Computational and Applied Mathematics, 252. 75-85 doi:10.1016/j.cam.2012.05.023
Clavero, C., Gracia, J.L. (2014) Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction–diffusion systems. Computers & Mathematics with Applications, 67. 655-670 doi:10.1016/j.camwa.2013.12.009
Clavero, C., Gracia, J.L., Shishkin, G.I., Shishkina, L.P. (2017) An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. Journal of Computational and Applied Mathematics, 318. 634-645 doi:10.1016/j.cam.2015.10.031
Clavero, C., Jorge, J.C. (2023) A multi-splitting method to solve 2D parabolic reaction–diffusion singularly perturbed systems. Journal of Computational and Applied Mathematics, 417. 114569 doi:10.1016/j.cam.2022.114569
Gracia, J.L., O’Riordan, E. (2020) Singularly perturbed reaction–diffusion problems with discontinuities in the initial and/or the boundary data. Journal of Computational and Applied Mathematics, 370. 112638pp. doi:10.1016/j.cam.2019.112638
Gracia, J.L., O’Riordan, E. (2015) Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction–diffusion problems. Journal of Computational and Applied Mathematics, 273. 13-24 doi:10.1016/j.cam.2014.05.023
Ku, JaEun (2026) Convergence of adaptive dual finite element methods for singularly perturbed reaction diffusion problems. Journal of Computational and Applied Mathematics, 472. doi:10.1016/j.cam.2025.116797
Clavero, C., Jorge, J.C (2019) An efficient numerical method for singularly perturbed time dependent parabolic 2D convection–diffusion systems. Journal of Computational and Applied Mathematics, 354. 431-444 doi:10.1016/j.cam.2018.10.033
Clavero, C., Jorge, J.C (2018) Solving efficiently one dimensional parabolic singularly perturbed reaction–diffusion systems: A splitting by components. Journal of Computational and Applied Mathematics, 344. 1-14 doi:10.1016/j.cam.2018.05.019
Gracia, J.L., O’Riordan, E. (2017) A singularly perturbed convection–diffusion problem with a moving pulse. Journal of Computational and Applied Mathematics, 321. 371-388 doi:10.1016/j.cam.2017.03.003
 
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