A reproducing kernel Hilbert space pseudospectral method for numerical investigation of a two-dimensional capillary formation model in tumor angiogenesis problem
| Autor: | Babak Azarnavid, Mahdi Emamjome, H. Roohani Ghehsareh |
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| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Mathematical analysis Hilbert space 02 engineering and technology Space (mathematics) Domain (mathematical analysis) Nonlinear system symbols.namesake 020901 industrial engineering & automation Artificial Intelligence Kernel (statistics) 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Pseudo-spectral method Boundary value problem Software Mathematics Reproducing kernel Hilbert space |
| Zdroj: | Neural Computing and Applications. 31:2233-2241 |
| ISSN: | 1433-3058 0941-0643 |
| DOI: | 10.1007/s00521-017-3184-4 |
| Popis: | In the current work, an interesting and challenging mathematical model for a two-dimensional capillary formation model in tumor angiogenesis problem will be investigated numerically. The mathematical model describes progression of tumor angiogenic factor in a unit square space domain, namely the extracellular matrix. An efficient numerical technique is performed to approximate the numerical solution of the governing practical model. The method is based on reproducing kernel Hilbert spaces in the framework of the standard pseudospectral method. Using reproducing kernel Hilbert space operational matrices and elimination the treatment of complicated boundary conditions are the main advantages of the proposed method. Some illustrative examples are included to demonstrate the effectiveness and versatility of the technique to deal with the governing mathematical model in both linear and nonlinear models . |
| Databáze: | OpenAIRE |
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