KFU. Card publication. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer

KAZAN
FEDERAL UNIVERSITY

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APPROXIMATION ERROR OF ONE FINITE-DIFFERENCE SCHEME FOR THE PROBLEM OF DIFFRACTION BY A GRADIENT LAYER

Form of presentation

Articles in international journals and collections

Year of publication

2017

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Authors, employees of KFU

Danilova Anastasiya Vadimovna, author

Rung Elena Vladimirovna, author

Tumakov Dmitriy Nikolaevich, author

Bibliographic description in the original language

Anufrieva A., Rung E., Tumakov D. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer // Far East Journal of Mathematical Sciences. – 2017. – Vol. 101, No. 6. – P. 1253-1264.

Annotation

The finite-difference scheme, constructed by the method of approximating an integral identity, is considered for a boundary value problem involving the one-dimensional Lame equations, which describe the problem of diffraction by gradient isotropic and transversal-isotropic layers. We prove that the finite-difference scheme is second-order accurate and can be recommended for use in solving the Lame equations with continuous coefficients.

Keywords

approximation error, finite-difference scheme, diffraction by a gradient layer

The name of the journal

Far East Journal of Mathematical Sciences

URL

http://www.pphmj.com/journals/articles/1580.htm

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=154921&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Danilova Anastasiya Vadimovna	ru_RU
dc.contributor.author	Rung Elena Vladimirovna	ru_RU
dc.contributor.author	Tumakov Dmitriy Nikolaevich	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Anufrieva A., Rung E., Tumakov D. Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer // Far East Journal of Mathematical Sciences. – 2017. – Vol. 101, No. 6. – P. 1253-1264.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=154921&p_lang=2	ru_RU
dc.description.abstract	Far East Journal of Mathematical Sciences	ru_RU
dc.description.abstract	The finite-difference scheme, constructed by the method of approximating an integral identity, is considered for a boundary value problem involving the one-dimensional Lame equations, which describe the problem of diffraction by gradient isotropic and transversal-isotropic layers. We prove that the finite-difference scheme is second-order accurate and can be recommended for use in solving the Lame equations with continuous coefficients.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	approximation error	ru_RU
dc.subject	finite-difference scheme	ru_RU
dc.subject	diffraction by a gradient layer	ru_RU
dc.title	Approximation error of one finite-difference scheme for the problem of diffraction by a gradient layer	ru_RU
dc.type	Articles in international journals and collections	ru_RU