Derivation of a Six-Step Block Method for Direct Solution of Second Order Ordinary Differential Equations
College of Art and Science, School of Quantitative Science, Universiti Utara Sintok, Kedah, Malaysia
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Math. Comput. Appl. 2015, 20(3), 151-159; https://doi.org/10.3390/mca20010159
Published: 1 December 2015
Abstract
A new six-step block method for solving second order initial value problems of ordinary differential equations is proposed using interpolation and collocation strategies. In developing this method, the power series adopted as an approximate solution is employed as interpolation equation while its second derivative is used as collocation equation. In addition, the stability properties of the developed method are also established. The numerical results reveal that the new method produces better accuracy if compared to existing methods when solving the same problems.
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MDPI and ACS Style
Kuboye, J.O.; Omar, Z. Derivation of a Six-Step Block Method for Direct Solution of Second Order Ordinary Differential Equations. Math. Comput. Appl. 2015, 20, 151-159. https://doi.org/10.3390/mca20010159
AMA Style
Kuboye JO, Omar Z. Derivation of a Six-Step Block Method for Direct Solution of Second Order Ordinary Differential Equations. Mathematical and Computational Applications. 2015; 20(3):151-159. https://doi.org/10.3390/mca20010159
Chicago/Turabian StyleKuboye, J. O., and Z. Omar. 2015. "Derivation of a Six-Step Block Method for Direct Solution of Second Order Ordinary Differential Equations" Mathematical and Computational Applications 20, no. 3: 151-159. https://doi.org/10.3390/mca20010159
