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Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems
Mathematics Department, American University of Nigeria, Yola, Nigeria
Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
Department of Mathematics, Adamawa State University, Mubi, Nigeria
Mathematics Department, American University of Nigeria, Yola, Nigeria
- 1 Mathematics Department, American University of Nigeria, Yola, Nigeria
- 2 Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
- 3 Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
- 4 Department of Mathematics, Adamawa State University, Mubi, Nigeria
- 5 Mathematics Department, American University of Nigeria, Yola, Nigeria
American Journal of Computational Mathematics·Volume 08 (2018)·Pages 96–107·Published 23 February 2018·DOI10.4236/ajcm.2018.81008
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Abstract
This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpolation and collocation of polynomial approximate solution. The results of this paper bring some useful information. The constructed methods are A-stable up to order 8 . As it is shown in the numerical examples, the new methods are superior for stiff systems.
KeywordsSecond DerivativeInterpolationCollocationContinuous SchemeBlock MethodStiff ProblemsInitial ValueLinear Multistep Method
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