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Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system | ||
| Journal of Mathematical Modeling | ||
| مقاله 4، دوره 12، شماره 3، آذر 2024، صفحه 431-449 اصل مقاله (950.45 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.25417.2260 | ||
| نویسندگان | ||
| Mostafa Abbaszadeh* 1؛ AliReza Bagheri Salec2؛ Alaa Salim Jebur2 | ||
| 1Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), No. 424, Hafez Ave., 15914 Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Basic Scince, University of Qom, Alghadir Blvd., Qom, Iran | ||
| چکیده | ||
| The main aim of the current paper is to apply the compact local integrated RBFs technique to the numerical solution of the fourth-order time-fractional diffusion-wave system. A finite difference formula is employed to obtain a time-discrete scheme. The stability and convergence rate of the semi-discrete plan are proved by the energy method. A new unknown variable is defined to obtain a second-order system of PDEs. Then, the compact local integrated radial basis functions (RBFs) is used to approximate the spatial derivative. The utilized numerical method is a truly meshless technique. The numerical approach put forth is genuinely meshless, allowing for the utilization of irregular physical domains in obtaining numerical solutions. | ||
| کلیدواژه‌ها | ||
| Time fractional PDEs؛ integrated RBFs؛ radial basis functions (RBFs)؛ stability؛ convergence | ||
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آمار تعداد مشاهده مقاله: 68 تعداد دریافت فایل اصل مقاله: 154 |
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