International Astronomy and Astrophysics Research Journal

The Approximation of One Step Block Approach for Simulation of Second Order Oscillatory Differential Equations

Yaska Mutah

Department of Mathematics and Statistics, Federal Polytechnic Mubi, Adamawa State, Nigeria.

P. M. Medugu

Department of Mathematics and Statistics, Federal Polytechnic Mubi, Adamawa State, Nigeria.

J. Sabo *

Department of Mathematics, Adamawa State University, Mubi, Nigeria.

H. Ali

Post Primary School Management Board Yola, Adamawa State. Nigeria.

*Author to whom correspondence should be addressed.

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Abstract

The approximation of the one step block method using the Linear Block approach (LBA) for simulation of second order oscillatory differential equations was examined in this research.

The basic properties of the new method were also analyzed and satisfied. Some distinct second order oscillatory differential equations were directly applied on the new method, the results obtained were compared with those in literature and the accuracy of the new method proved to be better as it outperformed those of existing methods. One of the advantage of the new method is that it does not require much computational burden and it is also self-starting.

Keywords: One step, computational burden, oscillatory differential equations, linear block approach

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