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Abbaszadeh, Mostafa, Bagheri Salec, AliReza, Jebur, Alaa Salim. (1403). Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system. فیزیولوژی و بیوتکنولوژی آبزیان, 12(3), 431-449. doi: 10.22124/jmm.2024.25417.2260
Mostafa Abbaszadeh; AliReza Bagheri Salec; Alaa Salim Jebur. "Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system". فیزیولوژی و بیوتکنولوژی آبزیان, 12, 3, 1403, 431-449. doi: 10.22124/jmm.2024.25417.2260
Abbaszadeh, Mostafa, Bagheri Salec, AliReza, Jebur, Alaa Salim. (1403). 'Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system', فیزیولوژی و بیوتکنولوژی آبزیان, 12(3), pp. 431-449. doi: 10.22124/jmm.2024.25417.2260
Abbaszadeh, Mostafa, Bagheri Salec, AliReza, Jebur, Alaa Salim. Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; 12(3): 431-449. doi: 10.22124/jmm.2024.25417.2260

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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تعداد مشاهده مقاله: 126
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