Boundary value technique based on a fifth derivative method of order 10 for fourth order initial and boundary value problems

DOI10.1007/S13370-018-0572-6zbMath1413.65274OpenAlexW2793892308MaRDI QIDQ1617759

H. B. Oladejo, E. A. Areo, Samuel N. Jator

Publication date: 8 November 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0572-6

zbMATH Keywords

convergencefourth orderinitial and boundary value problemsfifth derivative method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
• An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method
• Cubic spline solution of two-point boundary value problems with significant first derivatives
• Block hybrid collocation method with application to fourth order differential equations
• A self-starting linear multistep method for a direct solution of the general second-order initial value problem
• A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations
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