Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem

作者：Tatar Salih^*

来源：Inverse Problems in Science and Engineering, 2013, 21(1): 52-62.

DOI：10.1080/17415977.2012.668674

• direct problem
• inverse coefficient problem
• evolution equation
• steady-state solution
• quasi-solution

In this article, we study a class of direct and inverse coefficient problems defined for a nonlinear parabolic equation. An existence of a quasi-solution of the considered inverse problem is obtained in the appropriate class of admissible coefficients. Direct problem is solved numerically by using semi-implicit finite difference scheme and then some examples are presented related to steady-state solution of the nonlinear direct problem and ill-posedness of the inverse problem.

• 出版日期2013-1-1