Title :
Generalized Laguerre Interpolation and its Application to Differential Equation
Author :
Xiao-yong, Zhang ; Hua, Sui Jiang
Author_Institution :
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
Abstract :
In this paper, we develop the generalized Laguerre pseudospectral method for solving initial problems of second order ordinary differential equation. We also propose a multi-step version of the generalized Laguerre collocation method, which are very efficient for long-time numerical simulations. The numerical solutions possess the spectral accuracy. The global convergence of proposed algorithms are proved. Numerical results demonstrate the effectiveness of proposed methods and coincide well with theoretical analysis.
Keywords :
differential equations; interpolation; stochastic processes; generalized Laguerre collocation method; generalized Laguerre interpolation; generalized Laguerre pseudospectral method; long-time numerical simulation; second order ordinary differential equation; Accuracy; Chebyshev approximation; Differential equations; Interpolation; Mathematical model; Polynomials; Collocation method; Generalized Laguerre interpolation; Second order ordinary differential equation;
Conference_Titel :
Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on
Conference_Location :
Wuxi
Print_ISBN :
978-1-4577-0327-0
DOI :
10.1109/DCABES.2011.48