On modelling of semilinear singularly perturbed reaction-diffusion problem

DOI10.1016/S0362-546X(97)00402-1zbMath0889.65088MaRDI QIDQ4378435

Katarina Surla

Publication date: 25 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

singular perturbationfinite difference methodspline approximationreaction-diffusion equationssemilinear

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

A parameter-uniform B-spline collocation method for singularly perturbed semilinear reaction-diffusion problems ⋮ Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems ⋮ Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers ⋮ Discretization of the semilinear singularly perturbed problem ⋮ High order robust approximations for singularly perturbed semilinear systems ⋮ Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems

Cites Work

• Solving singularly perturbed boundary-value problems by spline in tension
• Uniform fourth order difference scheme for a singular perturbation problem
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• An optimal uniformly convergent oci difference scheme for a singular perturbation problem^∗
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