Numerical techniques for solving system of nonlinear inverse problem
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 coefficie...
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| Veröffentlicht in: | Engineering with computers 2018-07, Vol.34 (3), p.487-502 |
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| creator | Pourgholi, Reza Tabasi, S. Hashem Zeidabadi, Hamed |
| description | 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. |
| doi_str_mv | 10.1007/s00366-017-0554-6 |
| format | Article |
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| ispartof | Engineering with computers, 2018-07, Vol.34 (3), p.487-502 |
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| subjects | Approximation Basis functions CAE) and Design Calculus of Variations and Optimal Control Optimization Classical Mechanics Computer Science Computer-Aided Engineering (CAD Control Finite element method Functions (mathematics) Inverse problems Math. Applications in Chemistry Mathematical and Computational Engineering Neural networks Original Article Radial basis function Stability analysis Systems Theory |
| title | Numerical techniques for solving system of nonlinear inverse problem |
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