Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion

Details Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion

2010-04-08

arxiv.org/abs/1004.1334v2

Mathematics

Numerical Analysis

Changes from original submission: Lemma 2.5 is new --- it is needed in reference [6]

Scientific paper

A semilinear reaction-diffusion two-point boundary value problem, whose second-order derivative is multiplied by a small positive parameter $\eps^2$, is considered. It can have multiple solutions. An asymptotic expansion is constructed for a solution that has an interior layer. Further properties are then established for a perturbation of this expansion. These are used in\cite{KoStMain} to obtain discrete sub-solutions and super-solutions for certain finite difference methods described there, and in this way yield convergence results for those methods.

Affiliated with

Also associated with

No associations

Rating

Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbed asymptotic expansions for interior-layer solutions of a semilinear reaction-diffusion problem with small diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713373