| THE PREDICTION-CORRECTION LEGENDRE COLLOCATION METHOD FOR NONLINEAR EVOLUTIONARY PROBLEMS |
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| 作者姓名： | Li-pingHe Shun-kaiSun |
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| 作者单位： | [1]DepartmentofMathematics,ShanghaiJiaoTongUniversity，Shanghai200030,China [2]InstituteofAppliedPhysicsAndComputationalMathematics,Beijing100088,China |
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| 基金项目： | Supported by the Natural Science Foundation of China(10071049). |
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| 摘 要： | The initial-boundary value problem of Burgers equation is considered. A prediction-correction Legendre collocation scheme is presented, which is easy to be performed. Its numerical solution possesses the accuracy of second-order in time and higher order in space. Numerical results are reported, which show the high accuracy of this approach. The techniques used in this paper are also applicable to other nonlinear evolutionary problems.
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| 关 键 词： | 勒让德函数 初始值 边界值 收敛 |
THE PREDICTION-CORRECTION LEGENDRE COLLOCATION METHOD FOR NONLINEAR EVOLUTIONARY PROBLEMS |
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| Li-pingHe Shun-kaiSun.THE PREDICTION-CORRECTION LEGENDRE COLLOCATION METHOD FOR NONLINEAR EVOLUTIONARY PROBLEMS[J].Journal of Computational Mathematics,2004,22(5):753-768. |
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| Authors: | Li-ping He |
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| Institution: | Li-ping He Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200030,China,Shun-kai Sun Institute of Applied Physics And Computational Mathematics,Beijing 100088,China |
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| Abstract: | The initial-boundary value problem of Burgers equation is considered.A prediction-correction Legendre collocation scheme is presented,which is easy to be performed.Itsnumerical solution possesses the accuracy of second-order in time and higher order inspace.Numerical results are reported,which show the high accuracy of this approach.Thetechniques used in this paper are also applicable to other nonlinear evolutionary problems. |
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| Keywords: | Burgers equation Prediction-correction operator Legendre collocation approximation Convergence Numerical results |
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