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RISA Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems With Discontinuous Coefficient and Point Source
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents a defect correction method to solve singularly perturbed problems with discontinuous coefficient and point source. The method combines an inexpensive, lower-order stable, upwind difference scheme and a ...
Adaptive Mesh Generation and a Higher-Order Hybrid Approximation to Time-Dependent Singularly Perturbed Reaction–Diffusion Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. This paper introduces a novel hybrid difference approximation for solving time-dependent reaction–diffusion problems with shifts and integral boundary conditions. The problem is singularly perturbed, and its ...