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Noori Skandari, Mohammad Hadi, Mahmoudi, Mostafa, Vahidi, Javad, Ghovatmand, Mehdi. (1401). Legendre pseudo-spectral method for solving multi-pantograph delay differential equations. , (), -. doi: 10.30495/jnrm.2022.59953.2072
Mohammad Hadi Noori Skandari; Mostafa Mahmoudi; Javad Vahidi; Mehdi Ghovatmand. "Legendre pseudo-spectral method for solving multi-pantograph delay differential equations". , , , 1401, -. doi: 10.30495/jnrm.2022.59953.2072
Noori Skandari, Mohammad Hadi, Mahmoudi, Mostafa, Vahidi, Javad, Ghovatmand, Mehdi. (1401). 'Legendre pseudo-spectral method for solving multi-pantograph delay differential equations', , (), pp. -. doi: 10.30495/jnrm.2022.59953.2072
Noori Skandari, Mohammad Hadi, Mahmoudi, Mostafa, Vahidi, Javad, Ghovatmand, Mehdi. Legendre pseudo-spectral method for solving multi-pantograph delay differential equations. , 1401; (): -. doi: 10.30495/jnrm.2022.59953.2072

Legendre pseudo-spectral method for solving multi-pantograph delay differential equations

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 شهریور 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2022.59953.2072
نویسندگان
Mohammad Hadi Noori Skandari email 1؛ Mostafa Mahmoudi1؛ Javad Vahidi2؛ Mehdi Ghovatmand3
1Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
2Faculty of Mathematical Sciences, Iran university of science and Technology, Tehran, Iran
3Faculty of Mathematical Sciences, Shahrood University of Technolgy, Shahrood, Iran
چکیده
Delay differential equations have a wide range of applications in science and engineering. When these equations are nonlinear and complex the exact solution can usually not be calculated. So finding a numerical solution with high precision for these equations is essential. In this paper we present a numerical method based on the transferred Legendre polynomials to solve multiple pantograph delay differential equations. In this method we use the Legendre-Gauss-Lobato collocation points to discretize the problem and turn the problem into a nonlinear programming problem. From solving this nonlinear programming problem we get an approximate solution for the the main multiple pantograph delay differential equation. We analyse the feasibility of the nonlinear programming problem and the convergence of the obtained approximate solution to the exact solution. In addition by solving several numerical examples and comparing the method with other methods

We show the efficiency and the capability of the proposed method.
کلیدواژه‌ها
Pseudospectral Legendre method؛ Multy Pantograph delay differential equations؛ Convergence analysis
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تعداد مشاهده مقاله: 177


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