A two-step modified explicit hybrid method with step-size-dependent parameters for oscillatory problems

DOI10.1155/2020/5108482zbMath1448.65065OpenAlexW3023962966MaRDI QIDQ780492

F. Samat, Eddie Shahril Ismail

Publication date: 15 July 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5108482

zbMATH Keywords

second-order ordinary differential equationsmulti-step methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Adapted block hybrid method for the numerical solution of Duffing equations and related problems ⋮ One step adapted hybrid second derivative block method for initial value problems with oscillating solutions

Cites Work

• A new approach on the construction of trigonometrically fitted two step hybrid methods
• Trigonometrically-fitted method with the Fourier frequency spectrum for undamped Duffing equation
• Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
• A trigonometrically fitted block method for solving oscillatory second-order initial value problems and Hamiltonian systems
• A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems
• A class of explicit two-step hybrid methods for second-order IVPs
• Order conditions for a class of two-step methods for y = f (x, y)
• Trigonometrically fitted multi-step hybrid methods for oscillatory special second-order initial value problems

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