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A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)
Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
Department of Mathematics and Statistics, Cross River University of Technology, Calabar, Nigeria
Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
- 1 Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
- 2 Department of Mathematics and Statistics, Cross River University of Technology, Calabar, Nigeria
- 3 Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 341–344·Published 18 December 2012·DOI10.4236/ajcm.2012.24047
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Abstract
We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to derive a linear multistep method (LMM) with continuous coefficient. Block method was later adopted to generate the independent solution at selected grid points. The properties of the block viz: order, zero stability and stability region are investigated. Our method was tested on third order ordinary differential equation and found to give better result when compared with existing methods.
KeywordsCollectionInterpolationPower SeriesApproximantLinear MultistepContinuous CoefficientBlock Method
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