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Computational method for solving space fractional Fisher's nonlinear equation
Author(s) -
ElDanaf Talaat S.,
Hadhoud Adel R.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2822
Subject(s) - mathematics , nonlinear system , quadratic equation , fisher equation , space (punctuation) , numerical analysis , spline (mechanical) , mathematical optimization , mathematical analysis , computer science , physics , geometry , structural engineering , real interest rate , quantum mechanics , monetary economics , economics , interest rate , engineering , operating system
This paper aims to present a general framework of the quadratic spline functions to develop a numerical method for solving the nonlinear space fractional Fisher's equation. Using Von Neumann method, the proposed method is shown to be conditionally stable. Finally, a numerical example is given to verify the effectiveness of the proposed algorithm. The results reveal that the proposed approach is very effective, convenient, and quite accurate to such considered problems. Copyright © 2013 John Wiley & Sons, Ltd.