Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments

DOI10.1007/s11075-016-0199-3zbMath1380.65143OpenAlexW2513601192MaRDI QIDQ526714

Kapil K. Sharma, Komal Bansal

Publication date: 15 May 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0199-3

zbMATH Keywords

numerical examplesingular perturbationerror estimatesnon-standard finite difference methoddifferential-difference equationsbackward Euler finite difference schemeconvection diffusion parabolic problemfitted operator

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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