144
Views
9
CrossRef citations to date
0
Altmetric
Section B

Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval

Pages 1039-1052 | Received 27 Oct 2013, Accepted 24 Apr 2014, Published online: 04 Jun 2014
 

Abstract

In this paper, we propose a generalized Laguerre spectral method for Fisher's-type equation with inhomogeneous boundary conditions on a semi-infinite interval. By reformulating the equation with suitable functional transform, it is shown that the generalized Laguerre approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the generalized Laguerre approximations to the transformed equation is developed and implemented. Numerical results show the efficiency of this approach and coincide well with theoretical analysis.

2000 AMS Subject Classifications::

Acknowledgements

The work of this author is supported in part by NSF of China N.11371123 and N.11171227, Fund of Henan Education Commission N.2011B110014 and N.14B11021 and The Doctor Fund of Henan University of Science and Technology N.09001263.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.