Cubic Spline Approximation of the Coefficient in Euler-Bernoulli Equation from Over-posed Data
Abstract
A method for solving the inverse problem for coefficient identification in the Euler-Bernoulli equation from over-posed data is presented. The original inverse problem is replaced by a minimization problem. Recently, the method was applied to the problem for identifying the coefficient in the case when it is piece-wise constant and piece-wise linear function. Now we consider the case when the coefficient is a piece-wise cubic function. The numerical results confirm that the solution of the imbedding problem coincides with the direct simulation of the original problem within the second order of approximation.
- Publication:
-
1st International Conference on Applications of Mathematics in Technical and Natural Sciences
- Pub Date:
- October 2009
- DOI:
- 10.1063/1.3265322
- Bibcode:
- 2009AIPC.1186..133M
- Keywords:
-
- boundary-value problems;
- partial differential equations;
- inverse problems;
- finite difference methods;
- 02.60.Lj;
- 02.30.Jr;
- 02.30.Zz;
- 02.70.Bf;
- Ordinary and partial differential equations;
- boundary value problems;
- Partial differential equations;
- Inverse problems;
- Finite-difference methods