آمار
| تعداد نشریات | 45 |
| تعداد شمارهها | 1,513 |
| تعداد مقالات | 18,465 |
| تعداد مشاهده مقاله | 60,270,490 |
| تعداد دریافت فایل اصل مقاله | 21,274,783 |
Numerical Methods for the Fractional Generalized Korteweg–de Vries–Burgers Equation with the Caputo–Prabhakar Derivative Using GRBF and RBF–FD Approaches | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 تیر 1405 اصل مقاله (1.56 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70096.3465 | ||
| نویسندگان | ||
| Safar Irandoust-pakchin* ؛ Mohammad Hossein Dearkhshan؛ Somaiyeh Abdi-mazraeh | ||
| Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| This work is devoted to the numerical treatment of the generalized Korteweg–de Vries–Burgers (GKdVB) equation involving a time–fractional derivative defined in the sense of the regularized Caputo–Prabhakar operator. To approximate the solution of this fractional nonlinear model, two meshless computational frameworks are employed. The first approach is the global radial basis function (GRBF) method, which utilizes globally supported basis functions to obtain highly accurate spatial approximations. The second approach is the radial basis function finite difference (RBF–FD) scheme, where the flexibility of radial basis functions is combined with the computational efficiency of finite difference–type discretizations. These two strategies provide complementary advantages, balancing accuracy, computational efficiency, and adaptability to complex domains. A stability analysis of the resulting schemes is also presented to assess the reliability of the numerical approximations. To illustrate the performance of the proposed techniques, a representative numerical experiment is carried out, and the obtained results are reported through graphical and tabulated data. The numerical findings confirm that the GRBF and RBF–FD approaches provide accurate and stable approximations for the fractional GKdVB equation and demonstrate their potential for applications in various scientific and engineering problems involving nonlinear fractional models. | ||
| کلیدواژهها | ||
| Generalized Korteweg–de Vries–Burgers؛ Global radial basis function؛ Radial basis function finite difference؛ Regularized Caputo–Prabhakar operator؛ Stability | ||
|
آمار تعداد مشاهده مقاله: 17 تعداد دریافت فایل اصل مقاله: 11 |
||