Parameter-uniform numerical methods for general nonlinear singularly perturbed reaction diffusion problems having a stable reduced solution

DOI10.1007/s10543-016-0628-7zbMath1366.65075OpenAlexW2520386278MaRDI QIDQ512856

Jason Quinn

Publication date: 2 March 2017

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-016-0628-7

zbMATH Keywords

stabilityuniform convergencefinite difference schemeerror boundreaction-diffusion problemsboundary layerShishkin meshnumerical experimentreduced solutionsingularly perturbed nonlinear two-point boundary-value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (1)

Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term

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