ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991): 65N35, 65N22, 65F05, 35J05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. A Laguerre-Galerkin method is proposed and analyzed for the Burgers equation and Benjamin-Bona-Mahony (BBM) equation on a semi-infinite interval. By reformulating these equations with suitable functional transforms, it is shown that the Laguerre-Galerkin approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the Laguerre-Galerkin approximations to the transformed equations is developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00005413
