A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation

2017 ◽  
Vol 26 (5) ◽  
pp. 744-772 ◽  
Author(s):  
Adel Hamdi
Keyword(s):  
Parabolic Equation ◽  
Iterative Method ◽  
Time Dependent ◽  
Compactly Supported ◽  
Dependent Sources

scholarly journals Generalization of DT Equations for Time Dependent Sources

Sensors ◽  
2010 ◽  
Vol 10 (12) ◽  
pp. 10828-10836 ◽  
Author(s):  
Lorenzo Neri ◽  
Salvatore Tudisco ◽  
Francesco Musumeci ◽  
Agata Scordino ◽  
Giorgio Fallica ◽  
...  
Keyword(s):  
Time Dependent ◽  
Dependent Sources

A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation

2014 ◽  
Vol 05 (02) ◽  
pp. 1350029 ◽  
Author(s):  
Jyoti Talwar ◽  
R. K. Mohanty
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Iteration Method ◽  
Burgers Equation ◽  
Time Dependent ◽  
Alternating Group ◽  
Explicit Method ◽  
Rectangular Coordinates

In this article, we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers' equation in rectangular coordinates. The convergence analysis for the new iteration method is discussed in details. We compared the results of Burgers' equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.

scholarly journals Doubly Degenerate Parabolic Equation with Time-Dependent Gradient Source and Initial Data Measures

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Lihua Deng ◽  
Xianguang Shang
Keyword(s):  
Parabolic Equation ◽  
Initial Data ◽  
Degenerate Parabolic Equation ◽  
A Priori Estimates ◽  
A Priori ◽  
Local Existence ◽  
Time Dependent ◽  
Priori Estimates ◽  
The Cauchy Problem ◽  
Degenerate Parabolic

This paper is devoted to the Cauchy problem for a class of doubly degenerate parabolic equation with time-dependent gradient source, where the initial data are Radon measures. Using the delicate a priori estimates, we first establish two local existence results. Furthermore, we show that the existence of solutions is optimal in the class considered here.

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