New Seven-Step Numerical Method for Direct Solution of Fourth Order Ordinary Differential Equations | Zendy

Zurni Omar | Zendy; J. O. Kuboye | Zendy

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New Seven-Step Numerical Method for Direct Solution of Fourth Order Ordinary Differential Equations

Author(s) -

Zurni Omar,

J. O. Kuboye

Publication year - 2016

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2015.48.2.1

Subject(s) - collocation method , mathematics , ordinary differential equation , collocation (remote sensing) , orthogonal collocation , interpolation (computer graphics) , convergence (economics) , numerical methods for ordinary differential equations , numerical stability , order of accuracy , explicit and implicit methods , mathematical analysis , consistency (knowledge bases) , linear multistep method , power series , differential equation , numerical analysis , differential algebraic equation , computer science , geometry , animation , computer graphics (images) , machine learning , economic growth , economics

A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations

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