Single numerical algorithm developed to solving first and second orders ordinary differential equations

John Olusola Kuboye, Bamikole Gbenga Ogunware, Ezekiel Olusola Abolarin and Chika O. Mmaduakor

International Journal of Mathematics in Operational Research, 2022, vol. 21, issue 4, 466-479

Abstract: A potent numerical algorithm for solving first and second orders initial value problems is examined in this paper. Interpolation and collocation approach was applied in the derivation of the new method with the use of power series approximate solution as interpolating polynomial. The two numerical integrators that formed the block were derived by evaluating the non-interpolating points within the selected interval of integration. To examine the effectiveness of the block, it was tested on some first and second orders ordinary differential equations and results generated performed better when compared with existing methods in terms of accuracy.

Keywords: block method; collocation; hybrid; interpolation; power series; first order IVP; second order IVP. (search for similar items in EconPapers)
Date: 2022
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