Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay

DOI10.1016/j.amc.2019.06.010zbMath1429.65166OpenAlexW2949555300WikidataQ127671783 ScholiaQ127671783MaRDI QIDQ2279631

Hussein Sahihi, Saeid Abbasbandy, Tofigh Allahviranloo

Publication date: 13 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.010

zbMATH Keywords

error estimationreproducing kernel methodsingularly perturbed problemsoscillatory behaviorboundary layer behavior

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10) Singular perturbations of functional-differential equations (34K26)

Related Items (10)

Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems ⋮ A continuous kernel functions method for mixed-type functional differential equations ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ A new kernel functions based approach for solving 1-D interface problems ⋮ A REPRODUCING KERNEL METHOD FOR SOLVING SINGULARLY PERTURBED DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS ⋮ Renormalization group method for singular perturbation initial value problems with delays ⋮ Reproducing kernel method to solve non-local fractional boundary value problem ⋮ Superconvergent kernel functions approaches for the second kind Fredholm integral equations ⋮ Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces ⋮ A stable and efficient technique for linear boundary value problems by applying kernel functions

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