Numerical techniques for solving system of nonlinear inverse problem
| Autor: | Hamed Zeidabadi, S. Hashem Tabasi, Reza Pourgholi |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Polynomial
0211 other engineering and technologies General Engineering 02 engineering and technology Function (mathematics) Inverse problem 01 natural sciences Finite element method Computer Science Applications 010101 applied mathematics Nonlinear system Modeling and Simulation Inverse scattering problem Applied mathematics Radial basis function 0101 mathematics Software 021106 design practice & management Mathematics Equation solving |
| Zdroj: | Engineering with Computers. 34:487-502 |
| ISSN: | 1435-5663 0177-0667 |
| DOI: | 10.1007/s00366-017-0554-6 |
| Popis: | In this paper, based on the cubic B-spline finite element (CBSFE) and the radial basis functions (RBFs) methods, the inverse problems of finding the nonlinear source term for system of reaction–diffusion equations are studied. The approach of the proposed methods are to approximate unknown coefficients by a polynomial function whose coefficients are determined from the solution of minimization problem based on the overspecified data. In fact, this work considers a comparative study between the cubic B-spline finite element method and radial basis functions method. The stability and convergence analysis for these problems are investigated and some examples are given to illustrate the results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink