Solution of the boundary-value problem of heat conduction with periodic boundary conditions

  • F. Kanca Dept. Comput. Eng., Fenerbahce Univ., Istanbul, Turkey
  • I. Baglan Kocaeli Univ., Turkey
Keywords: boundary-value problem, periodic boundary conditions

Abstract

UDC 517.9

We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions.
Under certain natural regularity and consistency conditions imposed on the input data, we establish the existence, uniqueness of the solution and its continuous dependence on the data by using the generalized Fourier method.
In addition, an iterative algorithm is constructed for the numerical solution of this problem.

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doi: 10.1007/b100958

Published
11.02.2020
How to Cite
KancaF., and BaglanI. “Solution of the Boundary-Value Problem of Heat Conduction With Periodic Boundary Conditions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 2, Feb. 2020, pp. 209-20, http://umj.imath.kiev.ua/index.php/umj/article/view/2367.
Section
Research articles