The meshless radial basis function collocation method is an efficient numerical technique for solving partial differential equations. The multiquadric is the most widely utilized radial function for this purpose; but it contains a shape parameter, which has a significant effect on the performance of the method. In this study, the meshless collocation method employing multiquadric as the radial function with optimum shape parameters is applied to the numerical solution of the multigroup neutron diffusion equation. The optimization of the shape parameter is performed by minimizing the Madych-Nelson function. One external and two fission source problems are solved to investigate the performance of the method. The results show that the meshless collocation method with optimized shape parameters yield a high level of accuracy with an exponential convergence rate.
Meshless, RBF, Collocation, Optimum shape parameter, Neutron diffusion
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 24 Haziran 2019 |
Yayınlandığı Sayı | Yıl 2019, Cilt 3, Sayı 1 |
Bibtex | @araştırma makalesi { jise570328, journal = {Journal of Innovative Science and Engineering}, issn = {}, eissn = {2602-4217}, address = {ursa Technical University, Mimar Sinan Campus, Mimar Sinan Mah. Mimar Sinan Blv. Eflak Cad. No:177 16310 Yıldırım, Bursa / Turkey}, publisher = {Bursa Teknik Üniversitesi}, year = {2019}, volume = {3}, pages = {23 - 31}, doi = {10.38088/jise.570328}, title = {Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters}, key = {cite}, author = {Tanbay, Tayfun} } |
APA | Tanbay, T. (2019). Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters . Journal of Innovative Science and Engineering , 3 (1) , 23-31 . DOI: 10.38088/jise.570328 |
MLA | Tanbay, T. "Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters" . Journal of Innovative Science and Engineering 3 (2019 ): 23-31 <http://jise.btu.edu.tr/tr/pub/issue/44666/570328> |
Chicago | Tanbay, T. "Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters". Journal of Innovative Science and Engineering 3 (2019 ): 23-31 |
RIS | TY - JOUR T1 - Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters AU - Tayfun Tanbay Y1 - 2019 PY - 2019 N1 - doi: 10.38088/jise.570328 DO - 10.38088/jise.570328 T2 - Journal of Innovative Science and Engineering JF - Journal JO - JOR SP - 23 EP - 31 VL - 3 IS - 1 SN - -2602-4217 M3 - doi: 10.38088/jise.570328 UR - https://doi.org/10.38088/jise.570328 Y2 - 2019 ER - |
EndNote | %0 Journal of Innovative Science and Engineering Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters %A Tayfun Tanbay %T Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters %D 2019 %J Journal of Innovative Science and Engineering %P -2602-4217 %V 3 %N 1 %R doi: 10.38088/jise.570328 %U 10.38088/jise.570328 |
ISNAD | Tanbay, Tayfun . "Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters". Journal of Innovative Science and Engineering 3 / 1 (Haziran 2019): 23-31 . https://doi.org/10.38088/jise.570328 |
AMA | Tanbay T. Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters. JISE. 2019; 3(1): 23-31. |
Vancouver | Tanbay T. Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters. Journal of Innovative Science and Engineering. 2019; 3(1): 23-31. |
IEEE | T. Tanbay , "Meshless solution of the neutron diffusion equation by the RBF collocation method using optimum shape parameters", Journal of Innovative Science and Engineering, c. 3, sayı. 1, ss. 23-31, Haz. 2019, doi:10.38088/jise.570328 |
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