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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Niknam, Sepideh, Adibi, Hojatollah. (1401). A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions. سامانه مدیریت نشریات علمی, 10(4), 969-985. doi: 10.22034/cmde.2021.42440.1829
Sepideh Niknam; Hojatollah Adibi. "A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions". سامانه مدیریت نشریات علمی, 10, 4, 1401, 969-985. doi: 10.22034/cmde.2021.42440.1829
Niknam, Sepideh, Adibi, Hojatollah. (1401). 'A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions', سامانه مدیریت نشریات علمی, 10(4), pp. 969-985. doi: 10.22034/cmde.2021.42440.1829
Niknam, Sepideh, Adibi, Hojatollah. A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions. سامانه مدیریت نشریات علمی, 1401; 10(4): 969-985. doi: 10.22034/cmde.2021.42440.1829

A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions

Computational Methods for Differential Equations
مقاله 10، دوره 10، شماره 4، دی 2022، صفحه 969-985    اصل مقاله (1.12 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.42440.1829
نویسندگان
Sepideh Niknam؛ Hojatollah Adibi*
Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
چکیده
In this research, a linear combination of moving least square (MLS) and local radial basis functions (LRBFs) is considered within the framework of the meshless method to solve the two-dimensional hyperbolic telegraph equation. Besides, the differential quadrature method (DQM) is employed to discretize temporal derivatives. Furthermore, a control parameter is introduced and optimized to achieve minimum errors via an experimental approach. Illustrative examples are provided to demonstrate the applicability and efficiency of the method. The results prove the superiority of this method over using MLS and LRBF individually. 
کلیدواژه‌ها
Meshless method؛ Moving least square؛ Local radial basis function؛ Two-dimensional hyperbolic telegraph equation؛ Differential quadrature method
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