An efficient finite difference scheme for the 2D sine-Gordon equation
نویسندگان
چکیده
منابع مشابه
Parallelization of a finite difference scheme for solving systems of 2D Sine-Gordon equations
Systems of perturbed 2D Sine-Gordon equations coupled via a cyclic tridiagonal matrix are solved numerically by a second-order centered finite difference scheme. The systems are considered on rectangular domains. First an OpenMP parallel program is realized and very good performance scalability inside one computational node is achieved. The tests on one computational node of the CPU platform in...
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In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
متن کاملکاربرد finite-difference در سیستم های غیر خطی و بررسی معادله sine-gordon
یک تکنیک خطی سازی برای جواب عددی معادله sine-gordon با استفاده از طرح ضمنی روش خطی را مطرح می کنیم. به واسطه این تکنیک عبارت غیر خطی معادله sine-gordon کاملاً خطی می شود. بنابر این مسائل با مقادیر کرانه ای و اولیه مربوط به این معادله غیر خطی، به یک سیستم جبر خطی تبدیل می شود. سپس با استفاده از finite-difference و به روش فوریه پایداری آن می پردازیم. در نهایت از یک سری روش های تفاضل متناهی، جهت تب...
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We put forward and analyze an explicit finite difference scheme for the Camassa-Holm shallow water equation that can handle general H1 initial data and thus peakon-antipeakon interactions. Assuming a specified condition restricting the time step in terms of the spatial discretization parameter, we prove that the difference scheme converges strongly in H1 towards a dissipative weak solution of C...
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ژورنال
عنوان ژورنال: The Journal of Nonlinear Sciences and Applications
سال: 2017
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.010.06.14