Some new implicit two-step multiderivative methods for solving special second-order IVP's

DOI10.1016/j.amc.2014.04.041zbMath1337.65076OpenAlexW2166871009MaRDI QIDQ274356

M. F. Patricio, Higinio Ramos

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.041

zbMATH Keywords

wave equationmultistep multiderivative methodsoptimal methodssecond order initial-value problems

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (7)

One step adapted hybrid second derivative block method for initial value problems with oscillating solutions ⋮ An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems ⋮ 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 functionally-fitted block Numerov method for solving second-order initial-value problems with oscillatory solutions ⋮ A novel class of collocation methods based on the weighted integral form of ODEs ⋮ Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems

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