Generalized and Numerical Solution for a Quasilinear Parabolic Equation With Nonlocal Conditions
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Date
2015
Authors
Kanca, Fatma
Baglan, Irem Sakinc
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Publisher
Univ Babes-Bolyai
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Abstract
In this paper we study the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. We prove an existence uniqueness of the weak generalized solution and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem. We analyze computationally convergence of the iteration algorithm as well as on test example.
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Keywords
Quasilinear parabolic equation, Nonlocal boundary condition, Finite difference method
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Citation
0
WoS Q
Scopus Q
Q3
Source
Volume
60
Issue
4
Start Page
567
End Page
581