Numerical solution of one-dimensional Sine-Gordon equation using rational radial basis functions
Publish place: Journal of Mathematical Modeling، Vol: 10، Issue: 3
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-10-3_002
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
In this paper, we use the rational radial basis function (RRBF) method for solving the one dimensional Sine-Gordon (SG) equation, especially the case with steep front or sharp gradient solutions. The time and spatial derivatives are approximated by the finite difference and RRBF method, respectively. Some numerical experiments are given in both perturbed and unperturbed cases, and are compared with some other numerical methods to confirm the good accuracy of the presented method. The conservation law of energy is also investigated.
Keywords:
Sine-Gordon equation , Radial Basis Function , Rational radial basis function method , Conservation law
Authors
Mansour Shiralizadeh
Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran
Amjad Alipanah
Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran
Maryam Mohammadi
Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran