| A meshless algorithm with the improved moving least square approximation for nonlinear improved Boussinesq equation |
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| 作者姓名： | 谭渝 李小林 |
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| 作者单位： | School of Mathematical Sciences |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11971085);the Fund from the Chongqing Municipal Education Commission,China(Grant Nos.KJZD-M201800501 and CXQT19018);the Chongqing Research Program of Basic Research and Frontier Technology,China(Grant No.cstc2018jcyjAX0266)。 |
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| 摘 要： | An improved moving least square meshless method is developed for the numerical solution of the nonlinear improved Boussinesq equation. After the approximation of temporal derivatives, nonlinear systems of discrete algebraic equations are established and are solved by an iterative algorithm. Convergence of the iterative algorithm is discussed. Shifted and scaled basis functions are incorporated into the method to guarantee convergence and stability of numerical results. Numerical examples are presented to demonstrate the high convergence rate and high computational accuracy of the method.
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| 关 键 词： | MESHLESS improved moving least square approximation nonlinear improved Boussinesq equation convergence and stability |
A meshless algorithm with the improved moving least square approximation for nonlinear improved Boussinesq equation |
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| Yu Tan,Xiao-Lin Li.A meshless algorithm with the improved moving least square approximation for nonlinear improved Boussinesq equation[J].Chinese Physics B,2021(1). |
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| Authors: | Yu Tan Xiao-Lin Li |
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| Institution: | (School of Mathematical Sciences,Chongqing Normal University,Chongqing 400047,China) |
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| Abstract: | An improved moving least square meshless method is developed for the numerical solution of the nonlinear improved Boussinesq equation. After the approximation of temporal derivatives, nonlinear systems of discrete algebraic equations are established and are solved by an iterative algorithm. Convergence of the iterative algorithm is discussed. Shifted and scaled basis functions are incorporated into the method to guarantee convergence and stability of numerical results. Numerical examples are presented to demonstrate the high convergence rate and high computational accuracy of the method. |
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