Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval
Ist Teil von
International journal of computer mathematics, 2015-05, Vol.92 (5), p.1039-1052
Ort / Verlag
Abingdon: Taylor & Francis
Erscheinungsjahr
2015
Quelle
Taylor & Francis Journals Auto-Holdings Collection
Beschreibungen/Notizen
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.