## Abstract A new objective function for estimating parameters in differential equations, based upon a weighted least squares criterion for the residuals of these equations, is presented. The use of Lobatto quadrature in combination with the collocation technique reduces the original problem to one
A direct approximation method for parameter estimation in partial differential equations
β Scribed by Frank H. Mathis
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 531 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
β¦ Synopsis
We investigate a general method for estimating numerical values for the parameters which occur in certain partial differential equations. The method uses direct approximations of the solution and selects parameters to match the differential equation.
Several numerical examples are presented to illustrate the technique and compare it with initial-boundary value methods.
π SIMILAR VOLUMES
## Abstract Nonlinear Differential Algebraic Equations (DAEs) are an important class of models for dynamic processes. To establish models that describe the process behavior in a quantitatvely correct way, often parameters in the model have to be determined from observations or measurements of the p