Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations

DOI10.1007/s10957-011-9965-5zbMath1275.49046OpenAlexW1988753940MaRDI QIDQ1934616

Manju Sharma, Aditya Kaushik

Publication date: 29 January 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9965-5

zbMATH Keywords

functional differential equationweighted approximationlayer behaviornonuniform mesh

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Discrete approximations in optimal control (49M25)

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Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient ⋮ Iterative analytic approximation to nonlinear convection dominated systems ⋮ A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems ⋮ Analytic solution of nonlinear singularly perturbed initial value problems through iteration ⋮ A parameter uniform scheme for delay parabolic singularly perturbed turning point problem ⋮ An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers ⋮ An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems ⋮ An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations ⋮ Analytic approximation to delayed convection dominated systems through transforms ⋮ Error estimates for a class of partial functional differential equation with small dissipation ⋮ A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations

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