Interpolants for sixth‐order Numerov‐type methods

DOI10.1002/MMA.5848zbMath1431.65094OpenAlexW2968663878MaRDI QIDQ5214957

Ch. Tsitouras, Ibraheem Alolyan, Theodore E. Simos

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5848

zbMATH Keywords

interpolationexplicit hybrid Numerov method

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)

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A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation ⋮ An efficient spline scheme of the coupled nonlinear Schrödinger equations ⋮ The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs ⋮ Eighth order, phase-fitted, six-step methods for solving \(y^{\prime \prime}=f(x,y)\) ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

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