Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions

2020 ◽  
Vol 148 ◽  
pp. 18-27
Author(s):  
Md. Maqbul ◽  
A. Raheem
Keyword(s):  
Parabolic Equation ◽  
Time Discretization ◽  
Integral Conditions

scholarly journals Semidiscretization for a Doubly Nonlinear Parabolic Equation Related to the p(x)-Laplacian

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Hamid El Bahja ◽  
Abderrahmane El Hachimi ◽  
Ali Alami Idrissi
Keyword(s):  
Parabolic Equation ◽  
Nonlinear Parabolic Equation ◽  
Time Discretization ◽  
Global Compact ◽  
Compact Attractor ◽  
Nonlinear Parabolic ◽  
Doubly Nonlinear ◽  
Doubly Nonlinear Parabolic Equation

This paper studies a time discretization for a doubly nonlinear parabolic equation related to the p(x)-Laplacian by using Euler-forward scheme. We investigate existence, uniqueness, and stability questions and prove existence of the global compact attractor.

scholarly journals Rothe time-discretization method for a nonlocal problem arising in thermoelasticity

2005 ◽  
Vol 2005 (1) ◽  
pp. 13-28 ◽  
Author(s):  
Nabil Merazga ◽  
Abdelfatah Bouziani
Keyword(s):  
Continuous Dependence ◽  
Nonlocal Problem ◽  
Time Discretization ◽  
Boundary Integral ◽  
Time Variable ◽  
Discretization Method ◽  
Integral Conditions ◽  
Rothe Method ◽  
Semidiscrete Approximation ◽  
The Given

We investigate a model parabolic mixed problem with purely boundary integral conditions arising in the context of thermoelasticity. Using the Rothe method which is based on a semidiscretization of the given problem with respect to the time variable, the questions of existence, uniqueness, and continuous dependence upon data of a weak solution are proved. Moreover, we establish convergence and derive an error estimate for a semidiscrete approximation.

A Strong Solution of an Evolution Problem with Integral Conditions

2002 ◽  
Vol 9 (1) ◽  
pp. 149-159
Author(s):  
S. Mesloub ◽  
A. Bouziani ◽  
N. Kechkar
Keyword(s):  
Functional Analysis ◽  
Parabolic Equation ◽  
Strong Solution ◽  
Existence And Uniqueness ◽  
Energy Inequality ◽  
Integral Boundary Conditions ◽  
Analysis Method ◽  
Integral Conditions ◽  
Integral Boundary ◽  
Singular Parabolic Equation

Abstract The paper is devoted to proving the existence and uniqueness of a strong solution of a mixed problem with integral boundary conditions for a certain singular parabolic equation. A functional analysis method is used. The proof is based on an energy inequality and on the density of the range of the operator generated by the studied problem.

A problem with integral conditions for an elliptic-parabolic equation

2017 ◽  
Vol 102 (1-2) ◽  
pp. 68-80 ◽  
Author(s):  
A. K. Urinov ◽  
Sh. T. Nishonova
Keyword(s):  
Parabolic Equation ◽  
Integral Conditions
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