Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem

C. Xenophontos; P. Constantinou

Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem

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arxiv 2311.06849 v2 pith:Z3G4JFGI submitted 2023-11-12 math.CA cs.NAmath.NA

P. Constantinou , C. Xenophontos This is my paper · ORCID

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keywords orderboundaryestimatesfourthperturbedproblemreaction-diffusionregularity

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We consider a fourth order, reaction-diffusion type, singularly perturbed boundary value problem, and the regularity of its solution. Specifically, we provide estimates for arbitrary order derivatves, which are explicit in the singular perturbation parameter as well as the differentiation order. Such estimates are needed for the numerical analysis of high order methods, e.g.hp Finite Element Method (FEM).

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Analytic regularity for a fourth-order singularly perturbed boundary balue problem with two small parameters
math.NA 2026-07 conditional novelty 6.0 of 10

It derives explicit, parameter- and order-dependent derivative bounds for the smooth and boundary-layer components of solutions to a two-parameter fourth-order singularly perturbed BVP.

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