Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation

	Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation
Computational Methods for Differential Equations
مقاله 11، دوره 8، شماره 2، تیر 2020، صفحه 347-363 اصل مقاله (503.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.32252.1504
نویسندگان
Mahboobeh Rahimi؛ Hojatollah Adibi^*
Department of Mathematics,Central Tehran Branch, Islamic Azad University, Tehran, Iran.
چکیده
In this paper a multiquadric quasi-interpolation (MQQI) scheme for solving the system of 1-D coupled nonlinear Burger’s equations (CNBE) is presented. The scheme utilizes the derivative of the quasi-interpolation for approximating the spatial derivative and the Taylor series expansion for temporal derivatives. Simulations are presented to demonstrate the efficiency and applicability of the scheme. Also, we have shown that our scheme is superior to some numerical schemes already done.
کلیدواژه‌ها
One dimensional coupled nonlinear Burger’s equations؛ Multiquadric quasi-interpolation؛ Compact finite difference؛ Collocation method

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