Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification

2006 ◽  
Vol 83 (12) ◽  
pp. 905-913 ◽  
Author(s):  
Mehdi Tatari ◽  
Mehdi Dehghan ◽  
Mohsen Razzaghi
Keyword(s):  
Parabolic Equation ◽  
Time Dependent ◽  
Linear Parabolic Equation ◽  
One Dimensional ◽  
Dependent Parameter

scholarly journals On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator

1977 ◽  
Vol 20 (1) ◽  
pp. 97-105 ◽  
Author(s):  
P. G. L. Leach
Keyword(s):  
Direct Method ◽  
Dynamical Symmetry ◽  
Time Dependent ◽  
Symmetry Groups ◽  
New Approach ◽  
One Dimensional ◽  
The One ◽  
A Direct Method ◽  
Exact Invariant

AbstractAn exact invariant is found for the one-dimensional oscillator with equation of motion . The method used is that of linear canonical transformations with time-dependent coeffcients. This is a new approach to the problem and has the advantage of simplicity. When f(t) and g(t) are zero, the invariant is related to the well-known Lewis invariant. The significance of extension to higher dimension of these results is indicated, in particular for the existence of non-invariance dynamical symmetry groups.

scholarly journals A Note on the Inverse Problem for a Fractional Parabolic Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Abdullah Said Erdogan ◽  
Hulya Uygun
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Operator Theory ◽  
Source Term ◽  
Approximate Solutions ◽  
Time Dependent ◽  
Stability Estimates ◽  
Theory Approach ◽  
One Dimensional ◽  
Term Stability

For a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. The algorithm is tested in a one-dimensional fractional inverse problem.

Sign in / Sign up

Export Citation Format

Share Document