A new numerical method for singularly perturbed turning point problems with two boundary layers based on reproducing kernel method

DOI10.1007/s10092-016-0196-xzbMath1372.65218OpenAlexW2471244922MaRDI QIDQ2359410

Suping Qian, Fazhan Geng

Publication date: 28 June 2017

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-016-0196-x

zbMATH Keywords

numerical experimentserror estimateboundary layerreproducing kernel methodsingularly perturbed turning point problem

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ A new kernel functions based approach for solving 1-D interface problems ⋮ Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral ⋮ Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces ⋮ An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time ⋮ Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

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