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《College Mathematics》 2018-01
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The Gauss-Laguerre Numerical Solution of 1D DCHPs on the Infinite Domain

MIN Tao;ZANG Shun-quan;School of Science,Xi'an University of Technology;  
The analytical solution is usually abnormal integral for 1D DCHPs on the infinite domain,but it is difficult to calculate the often calculation abnormal integral directly.At first,the analytical solution is given by Fourier transform,then we combined the form of analytical solution and the virtues of Gauss quadrature method,the numerical solution of 1D DCHPs on the semi-infinite domain is calculated by Gauss-Laguerre quadrature.Moreover,we convert the analytic solutions on infinite domains to semi-infinite domains,and the numerical solution is obtained by Gauss-Laguerre quadrature.Numerical results show that the proposed method has very high precision.
【Fund】: 国家自然科学基金(51679186、11601418)
【CateGory Index】: O241.8
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