The boundary layer problem: a fourth-order adaptive collocation approach

DOI10.1016/j.camwa.2012.04.005zbMath1268.65102OpenAlexW2056717453MaRDI QIDQ356110

A. Sayfy, Khuri, Suheil A.

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.04.005

zbMATH Keywords

rate of convergenceboundary layerB-spline collocationsingularly perturbed boundary value problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (8)

Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems ⋮ A comparison between MMAE and SCEM for solving singularly perturbed linear boundary layer problems ⋮ Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronalactivity ⋮ Applications of quintic Hermite collocation with time discretization to singularly perturbed problems ⋮ Numerical solution of nonlinear second order singular BVPs based on Green's functions and fixed-point iterative schemes ⋮ A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems ⋮ High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations ⋮ NUMERICAL SOLUTION OF A CLASS OF NONLINEAR SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS: A FOURTH-ORDER CUBIC SPLINE APPROACH

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