Solving oscillatory delay differential equations using block hybrid methods

DOI10.1155/2018/2960237zbMath1487.65080OpenAlexW2894956877WikidataQ62630583 ScholiaQ62630583MaRDI QIDQ1728860

Muhammad Ozair, Fudziah Bt. Ismail, Norazak Senu, Sufia Zulfa Ahmad

Publication date: 26 February 2019

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

Full work available at URL: https://doi.org/10.1155/2018/2960237

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for functional-differential equations (65L03)

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A trigonometrically fitted intra-step block Falkner method for the direct integration of second-order delay differential equations with oscillatory solutions, Spectral Tau method for solving general fractional order differential equations with linear functional argument

Cites Work

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• Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
• Solving second-order delay differential equations by direct Adams-Moulton method
• Directly solving special second order delay differential equations using Runge-Kutta-Nyström method
• A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions
• Comparison theorems for second order delay differential equations
• A class of explicit two-step hybrid methods for second-order IVPs
• Asymptotic Nature of Nonoscillatory Solutions ofnth Order Retarded Differential Equations
• Derivation of Numerical Methods Using Computer Algebra
• Order conditions for a class of two-step methods for y = f (x, y)