The method of nonlocal transformations: Applications to singularly perturbed boundary-value problems

Andrei D. Polyanin, Inna K. Shingareva

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Resumen

© 2019 Published under licence by IOP Publishing Ltd. We present a method of numerical integration of singularly perturbed boundary-value problems with a small parameter, based on introducing a new nonlocal independent variable. As a result, we obtain more suitable problems that allow the application of standard fixed-step numerical methods. Two test boundary-value problems for second-order ODEs that have monotonic and non-monotonic exact or asymptotic solutions, expressed in elementary functions, are considered. Comparison of numerical, exact, and asymptotic solutions showed the high efficiency of the method based on generalized nonlocal transformations for solving singular boundary-value problems with a small parameter.
Idioma originalInglés estadounidense
DOI
EstadoPublicada - 7 may. 2019
EventoJournal of Physics: Conference Series -
Duración: 7 may. 2019 → …

Conferencia

ConferenciaJournal of Physics: Conference Series
Período7/05/19 → …

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