Numerical solution of nonlinear singularly perturbed problems by using a non-standard algorithm on variable stepsize implementation (CMMSE–2009)

In this article, we solve numerically singularly perturbed non-linear autonomous initial-value problems (IVPs) by using a non-standard algorithm on a variable stepsize implementation. On a recent article (Ramos et al. in J Math Chem, To appear) we had used nonuniform meshes for resolving the difficu...

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Bibliographic Details
Published in:	Journal of mathematical chemistry Vol. 48; no. 1; pp. 98 - 108
Main Authors:	Ramos, Higinio, García-Rubio, R.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Dordrecht Springer Netherlands 01.07.2010 Springer
Subjects:	Chemistry Chemistry and Materials Science Exact sciences and technology General and physical chemistry Math. Applications in Chemistry Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Original Paper Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physical Chemistry Sciences and techniques of general use Theoretical and Computational Chemistry Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry Nonuniform meshes Singularly perturbed initial-value problems Non-standard algorithm Variable stepsize implementation Mathematical chemistry Grid pattern Initial value problem Nonlinear problems Algorithm Layer Implementation Standards Efficiency Numerical solution Singularly perturbed initial-value problem Problem solving
ISSN:	0259-9791, 1572-8897
Online Access:	Get full text
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