Exponentially fitted methods applied to fourth-order boundary value problems

DOI10.1016/j.cam.2011.05.049zbMath1225.65075OpenAlexW1985944024MaRDI QIDQ719424

D. Hollevoet, Guido Vanden Berghe, Marnix van Daele

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.049

zbMATH Keywords

numerical examplesboundary value problemserror termexponential fittingfrequency evaluation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (12)

Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving \(y^{\prime\prime}=f(t,y)\) ⋮ Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts ⋮ Exponentially fitted IMEX methods for advection-diffusion problems ⋮ Unnamed Item ⋮ Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods ⋮ Exponentially fitted methods with a local energy conservation law ⋮ Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term ⋮ On the choice of the frequency in trigonometrically-fitted methods for periodic problems ⋮ A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation ⋮ High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems

Cites Work

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• Truncation Errors in Exponential Fitting for Oscillatory Problems
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