On the asymptotic solution to a type of piecewise-continuous second-order dirichlet problems of Tikhonov system

Xutian Qi; Mingkang Ni

doi:10.11948/2019.105

On the asymptotic solution to a type of piecewise-continuous second-order dirichlet problems of Tikhonov system

Xutian Qi
, Mingkang Ni^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A Type of second-order Dirichlet problems of Tikhonov system with piecewise-continuous right hand side is studied. By using the multiscale theory and the theory of contrast structures, a first-order continuous, uniform and effective asymptotic solution of the problem is constructed. Existence of the solution is proved and the remainder is estimated. An illustrative example for explaining this method is also given.

Original language	English
Pages (from-to)	105-117
Number of pages	13
Journal	Journal of Applied Analysis and Computation
Volume	9
Issue number	1
DOIs	https://doi.org/10.11948/2019.105
State	Published - 2019

Keywords

Piecewise continuous
Theory of contrast structures
Tikhonov System

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10.11948/2019.105

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title = "On the asymptotic solution to a type of piecewise-continuous second-order dirichlet problems of Tikhonov system",

abstract = "A Type of second-order Dirichlet problems of Tikhonov system with piecewise-continuous right hand side is studied. By using the multiscale theory and the theory of contrast structures, a first-order continuous, uniform and effective asymptotic solution of the problem is constructed. Existence of the solution is proved and the remainder is estimated. An illustrative example for explaining this method is also given.",

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AU - Qi, Xutian

AU - Ni, Mingkang

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N2 - A Type of second-order Dirichlet problems of Tikhonov system with piecewise-continuous right hand side is studied. By using the multiscale theory and the theory of contrast structures, a first-order continuous, uniform and effective asymptotic solution of the problem is constructed. Existence of the solution is proved and the remainder is estimated. An illustrative example for explaining this method is also given.

AB - A Type of second-order Dirichlet problems of Tikhonov system with piecewise-continuous right hand side is studied. By using the multiscale theory and the theory of contrast structures, a first-order continuous, uniform and effective asymptotic solution of the problem is constructed. Existence of the solution is proved and the remainder is estimated. An illustrative example for explaining this method is also given.

KW - Piecewise continuous

KW - Theory of contrast structures

KW - Tikhonov System

UR - https://www.scopus.com/pages/publications/85063464796

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DO - 10.11948/2019.105

M3 - 文章

AN - SCOPUS:85063464796

SN - 2156-907X

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JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 1

ER -

On the asymptotic solution to a type of piecewise-continuous second-order dirichlet problems of Tikhonov system

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Keywords

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