Two-level linearized and local uncoupled difference schemes for the two-component evolutionary Korteweg-de Vries system |
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Authors: | Jin-Ye Shen Zhi-Zhong Sun |
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Institution: | School of Mathematics, Southeast University, Nanjing, P.R. China |
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Abstract: | The two-level linearized and local uncoupled spatial second order and compact difference schemes are derived for the two-component evolutionary system of nonhomogeneous Korteweg-de Vries equations. It is shown by the mathematical induction that these two schemes are uniquely solvable and convergent in a discrete L∞ norm with the convergence order of O(τ2 + h2) and O(τ2 + h4), respectively, where τ and h are the step sizes in time and space. Three numerical examples are given to confirm the theoretical results. |
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Keywords: | convergence difference schemes Korteweg-de Vries equations |
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