Average implicit linear difference scheme for generalized Rosenau-Burgers equation |
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| Authors: | Jinsong HuBing Hu Youcai Xu |
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| Institution: | a School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, PR China
b School of Mathematics, Sichuan University, Chengdu 610064, PR China |
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| Abstract: | In this paper, a linear three-level average implicit finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-Burgers equation is presented. Existence and uniqueness of numerical solutions are discussed. It is proved that the finite difference scheme is convergent in the order of O(τ2 + h2) and stable. Numerical simulations show that the method is efficient. |
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| Keywords: | Generalized R-B equation Difference scheme Convergence Stability |
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