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A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 121

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شناسه ملی سند علمی:

JR_CMDE-11-4_004

تاریخ نمایه سازی: 1 شهریور 1402

چکیده مقاله A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach

This paper focuses on the numerical solution of the time-fractional telegraph equation in Caputo sense with 1 < \beta < 2. The time-fractional telegraph equation models neutron transport inside the core of a nuclear reactor. The proposed numerical solution consists of two stages. First, the time-discretized scheme of this equation is obtained by the Crank-Nicolson method. The stability and convergence of results from the semi-discretized scheme are presented. In the second stage, the numerical approximation of the unknown function at specific points is achieved through the collocation method using the moving least square method. The numerical experiments analyze the impact of some parameters of the proposed method.

کلیدواژه های A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach:

Time-Fractional Telegraph Equation ، Moving least squares method ، Stability ، Convergence

نویسندگان مقاله A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach

Haniye Hajinezhad

Department of Mathematics, Payame Noor University, Tehran, Iran.

Ali R. Soheili

Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

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