Dynamics of a differential-difference integrable(2+1)-dimensional system
نویسندگان
چکیده
منابع مشابه
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The boundedness and global asymptotic behavior of positive solutions of the nonlinear two-dimensional difference systems xn 1⁄4 Uðxn t1 ; yn s1 Þ; yn 1⁄4 Wðyn s2 ; xn t2 Þ, where t1; s1; s2; t2 are all positive integers, are investigated. Some sufficient conditions are established such that the positive solutions converge to the unique equilibrium. Finally, some examples are given to illustrate...
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15 صفحه اولFinite difference approximation of a nonlinear integro-differential system
Finite difference approximation of the nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is studied. The convergence of the finite difference scheme is proved. The rate of convergence of the discrete scheme is given. The decay of the numerical solution is compared with the analytical results proven earlier. Published by Elsevier Inc.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2015
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.91.062902