Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
نویسندگان
چکیده
منابع مشابه
Convergence of Galerkin Approximations for the Korteweg - de Vries Equation
Standard Galerkin approximations, using smooth splines on a uniform mesh, to 1-periodic solutions of the Korteweg-de Vries equation are analyzed. Optimal rate of convergence estimates are obtained for both semidiscrete and second order in time fully discrete schemes. At each time level, the resulting system of nonlinear equations can be solved by Newton's method. It is shown that if a proper ex...
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ژورنال
عنوان ژورنال: Contemporary Mathematics
سال: 2020
ISSN: 2705-1056,2705-1064
DOI: 10.37256/cm.152020502