Title :
A new generalized Laguerre function-generalized Hermite function mixed approximation and its application to nonlinear differential equation
Author :
Xiaoyong, Zhang ; Hua, Sui Jiang
Author_Institution :
Dept. of Math., Shanghai Maritime Univ., Shanghai, China
Abstract :
The generalized Laguerre-generalized Hermite mixed spectral method is developed. Various orthogonal projections are investigated. Some mixed approximation results are established. As an example of their important applications, a mixed spectral scheme is proposed for a two-dimensional nonlinear problem. Its convergence is proved. Numerical results demonstrate the high accuracy of this new spectral method.
Keywords :
convergence; function approximation; nonlinear differential equations; stochastic processes; generalized Laguerre-generalized Hermite function mixed approximation; generalized Laguerre-generalized Hermite mixed spectral method; mixed approximation; nonlinear differential equation; orthogonal projection; two-dimensional nonlinear problem; Argon; Eigenvalues and eigenfunctions; Function approximation; Interpolation; Polynomials;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765238
