The Difference Problem of Obtaining the Parameter of a Parabolic Equation | Zendy

Charyyar Ashyralyyev | Zendy; Öznur Demirdağ | Zendy

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The Difference Problem of Obtaining the Parameter of a Parabolic Equation

Author(s) -

Charyyar Ashyralyyev,

Öznur Demirdağ

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/603018

Subject(s) - font , mathematics , matrix (chemical analysis) , combinatorics , transformation matrix , boundary (topology) , mathematical analysis , physics , computer science , materials science , artificial intelligence , composite material , quantum mechanics , kinematics

The boundary value problem of determining the parameter of a parabolic equation ()+()=()+(0≤≤1),(0)=,(1)= in an arbitrary Banach space with the strongly positive operator is considered. The first order of accuracy stable difference scheme for the approximate solution of this problemis investigated. The well-posedness of this difference scheme is established. Applying the abstract result, the stability and almost coercive stability estimates for the solution of difference schemes for the approximate solution of differential equations with parameter are obtained

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