Article
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New algorithm for problems with exponential solutions
Version 1
: Received: 10 July 2016 / Approved: 11 July 2016 / Online: 11 July 2016 (08:15:27 CEST)
How to cite: Adesanya, O.; Onsachi, O.; Odekunle, R. New algorithm for problems with exponential solutions. Preprints 2016, 2016070018. https://doi.org/10.20944/preprints201607.0018.v1 Adesanya, O.; Onsachi, O.; Odekunle, R. New algorithm for problems with exponential solutions. Preprints 2016, 2016070018. https://doi.org/10.20944/preprints201607.0018.v1
Abstract
In this paper, we consider the development of algorithms for the solution of first order initial value problems whose solution exhibits exponential behaviour. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme. The discrete methods recovered from the continuous scheme are implemented in block form. The stability properties of the method is verified and numerical experiments show that our method is efficient in handling these problems
Keywords
Exponentially-fitted method, interpolation, collocation, stability properties, continuous method, stiff problems
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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