Piecewise shooting reproducing kernel method for linear singularly perturbed boundary value problems

DOI10.1016/J.AML.2016.06.009zbMath1348.65111OpenAlexW2461127222MaRDI QIDQ311689

Fazhan Geng, Zhiqiang Tang

Publication date: 13 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.06.009

zbMATH Keywords

numerical exampleboundary value problemsshooting methodreproducing kernel methodsingularly perturbed problems

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) 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 (12)

Reproducing kernel method for singularly perturbed one-dimensional initial-boundary value problems with exponential initial layers ⋮ An efficient numerical method for variable order fractional functional differential equation ⋮ AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS ⋮ A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems ⋮ Hypersingular nonlinear boundary-value problems with a small parameter ⋮ Using reproducing kernel for solving a class of fractional order integral differential equations ⋮ A new numerical method for variable order fractional functional differential equations ⋮ Piecewise reproducing kernel method for linear impulsive delay differential equations with piecewise constant arguments ⋮ Numerical solution of nonlinear second order singular BVPs based on Green's functions and fixed-point iterative schemes ⋮ A reproducing kernel method for solving heat conduction equations with delay ⋮ Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations ⋮ Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions

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