scientific article; zbMATH DE number 7034100

zbMath1424.65183MaRDI QIDQ4627603

Saadia Chadli Lalla, M. El Merzguioui, Hilal Khalid, A. El Hajaji

Publication date: 11 March 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol35-1/Art15.pdf

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zbMATH Keywords

convection-diffusion equationspline collocation method\(\theta\)-method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Fitted cubic spline scheme for two-parameter singularly perturbed time-delay parabolic problems ⋮ A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems ⋮ A quintic spline collocation method for solving time-dependent convection-diffusion problems

Cites Work

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• A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems
• A practical guide to splines
• An exponentially-fitted method for singularly perturbed, one-dimensional, parabolic problems
• A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
• A cubic B-spline collocation method for a numerical solution of the generalized Black-Scholes equation
• Robust Numerical Methods for Singularly Perturbed Differential Equations

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