Four-Step One Hybrid Block Methods for Solution of Fourth Derivative Ordinary Differential Equations
Raymond, Dominic, Skwame, Yusuf, Adiku, Lydia
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 8 Apr 2021
10.9734/jamcs/2021/v36i330343Abstract
We consider developing a four-step one offgrid block hybrid method for the solution of fourth derivative Ordinary Differential Equations. Method of interpolation and collocation of power series approximate solution was used as the basis function to generate the continuous hybrid linear multistep method, which was then evaluated at non-interpolating points to give a continuous block method. The discrete block method was recovered when the continuous block was evaluated at all step points. The basic properties of the methods were investigated and said to be converge. The developed four-step method is applied to solve fourth derivative problems of ordinary differential equations from the numerical results obtained; it is observed that the developed method gives better approximation than the existing method compared with.
References (5)
- 1 A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations [DOI]
- 2 NUMERICAL INTEGRATORS FOR FOURTH ORDER INITIAL AND BOUNDARY VALUE PROBLEMS
- 3 CONTINUOUS BLOCK METHOD FOR THE SOLUTION OF SECOND ORDER INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATION [DOI]
- 4 Numerical Solution of Higher Order Ordinary Differential Equations by Direct Block Code [DOI]
- 5 CONTINUOUS y-FUNCTION HYBRID METHODS FOR DIRECT SOLUTION OF DIFFERENTIAL EQUATIONS [DOI]
Cited by 4
Victor Oboni Atabo, Solomon Ortwer Adee · Journal of the Nigerian Society of Physical Sciences · 2021
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