Noorafkan Zanjani, Azam, Abbasbandy, Saeid, Soltanian, Fahimeh. (1401). Solving partial-differential algebraic equations with the fifth-Order Meshless Petrov-Galerkin Method by CS-RBFS interpolation. هنرهای کاربردی, 14(3), 353-367. doi: 10.22075/ijnaa.2022.24856.2841
Azam Noorafkan Zanjani; Saeid Abbasbandy; Fahimeh Soltanian. "Solving partial-differential algebraic equations with the fifth-Order Meshless Petrov-Galerkin Method by CS-RBFS interpolation". هنرهای کاربردی, 14, 3, 1401, 353-367. doi: 10.22075/ijnaa.2022.24856.2841
Noorafkan Zanjani, Azam, Abbasbandy, Saeid, Soltanian, Fahimeh. (1401). 'Solving partial-differential algebraic equations with the fifth-Order Meshless Petrov-Galerkin Method by CS-RBFS interpolation', هنرهای کاربردی, 14(3), pp. 353-367. doi: 10.22075/ijnaa.2022.24856.2841
Noorafkan Zanjani, Azam, Abbasbandy, Saeid, Soltanian, Fahimeh. Solving partial-differential algebraic equations with the fifth-Order Meshless Petrov-Galerkin Method by CS-RBFS interpolation. هنرهای کاربردی, 1401; 14(3): 353-367. doi: 10.22075/ijnaa.2022.24856.2841

Solving partial-differential algebraic equations with the fifth-Order Meshless Petrov-Galerkin Method by CS-RBFS interpolation

International Journal of Nonlinear Analysis and Applications
مقاله 29، دوره 14، شماره 3، خرداد 2023، صفحه 353-367    اصل مقاله (1009.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24856.2841
نویسندگان
Azam Noorafkan Zanjani1؛ Saeid Abbasbandy* 2؛ Fahimeh Soltanian1
1Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
2Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149-16818, Iran
چکیده
In this paper, the application of the Fifth-order Meshless Local Petrov-Galerkin Method in solving the linear partial differential-algebraic equations (PDAEs) was surveyed. The Gaussian quadrature points in the domain and on the boundary were determined as centers of local sub-domains. By governing the local weak form in each sub-domain, the compactly supported radial basis functions (CS-RBFs) approximation was used as the trial function and the Heaviside step function was considered as the test function. The proposed method was successfully utilized for solving linear PDAEs and the numerical results were obtained and compared with the exact solution to investigate the accuracy of the proposed method. The sensitivity to different parameters was analyzed and a comparison with the other methods was done.
کلیدواژه‌ها
Partial Differential Algebraic Equations؛ Meshless Local Petrow-Galerkin Method؛ Radial Basis Functions
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