On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation.

Publication date: 4 July 2000

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffusion and convection (76R99)

Related Items (8)

A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\) ⋮ An iterative technique for solving singularly perturbed parabolic PDE ⋮ Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem ⋮ Regularized Lardy scheme for solving singularly perturbed elliptic and parabolic PDEs ⋮ A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems ⋮ Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type ⋮ A layer adaptive B-spline collocation method for singularly perturbed one-dimensional parabolic problem with a boundary turning point ⋮ High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems

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