Cubic Spline Approximation of the Coefficient in EulerBernoulli Equation from Overposed Data
Abstract
A method for solving the inverse problem for coefficient identification in the EulerBernoulli equation from overposed 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 piecewise constant and piecewise linear function. Now we consider the case when the coefficient is a piecewise 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:

 boundaryvalue 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;
 Finitedifference methods