شماره ركورد كنفرانس :
102
عنوان مقاله :
A NUMERICAL APPROACH TO SOLVING A NONLINEAR INVERSE PARABOLIC PROBLEM USING FUNDAMENTAL SOLUTION METHOD
پديدآورندگان :
TABASI S. H نويسنده , Rahimi H نويسنده Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, P. O. Box 13185/768, Tehran, Iran
كليدواژه :
Numerical approaches , INVERSE PARABOLIC PROBLEM , Fundamental solution method , solving , Nonlinear
عنوان كنفرانس :
مجموعه مقالات چهل دومين كنفرانس رياضي ايران
چكيده فارسي :
This study is intended to provide a numerical algorithm for
solving an inverse parabolic problem of linear equation with nonlinear boundary
condition. To solve this inverse problem, we use the fundamental solution
method. The inverse problem has a unique solution, but this solution
is unstable hence the problem is ill-posed. This instability is overcome using
the Tikhonov regularization method. The effectiveness of the algorithm is
illustrated by numerical example. Results show that an excellent estimation
on the unknown functions of the inverse problem can be obtained within a
couple of minutes CPU time at pentium IV-2.4 GHz PC.
شماره مدرك كنفرانس :
1994188
