High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

DOI10.1007/s11075-014-9847-7zbMath1309.65086arXiv1411.0108OpenAlexW2065286046MaRDI QIDQ2256955

Ali Shokri, Hosein Saadat

Publication date: 23 February 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0108

zbMATH Keywords

periodic solutioninitial value problemssymmetric multistep methodsnumerical resultoscillating solutionObrechkoff methodstrigonometrically-fitting

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Unnamed Item ⋮ A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs ⋮ An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems ⋮ A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions ⋮ A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new family of three-stage two-step P-stable multiderivative methods with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation and IVPs with oscillating solutions ⋮ A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions ⋮ A new implicit six-step P-stable method for the numerical solution of Schrödinger equation

Cites Work

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