شماره ركورد كنفرانس :
5263
عنوان مقاله :
Numerical simulation of nonlinear space fractional Fisher equation using Petro-Galerkin method
پديدآورندگان :
Fakhari Hoorieh hoorihfakhari@yahoo.com Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran. , Mohebbi Akbar a_mohebbi@kashanu.ac.ir Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran.
كليدواژه :
Generalized Jacobi polynomials , Fisher equation , Petro , Galerkin method , Error estimate
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In this paper, a Petro-Galerkin spectral method isproposed for the solution of nonlinear space fractional Fisher equation. The main idea is to use generalized Jacobi polynomials asbasis functions for spatial derivative in such a way that the boundary conditions are satisfied. The implicit Euler backward methodhas been used to construct fully discrete scheme. Numerical resultsshow the high accuracy and low CPU time of proposed method.
