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Least‐squares finite element approximation of Fisher's reaction–diffusion equation
Author(s) -
Carey G. F.,
Shen Yun
Publication year - 1995
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690110206
Subject(s) - mathematics , fisher equation , finite element method , reaction–diffusion system , least squares function approximation , diffusion , fisher's equation , diffusion equation , mathematical analysis , class (philosophy) , non linear least squares , partial differential equation , explained sum of squares , integro differential equation , statistics , thermodynamics , interest rate , physics , first order partial differential equation , service (business) , economy , real interest rate , estimator , monetary economics , economics , artificial intelligence , computer science
Abstract Fisher's equation is a classical diffusion–reaction type of problem describing diffusion and nonlinear reproduction of a species. In the present study we develop a least‐squares finite element formulation of Fisher's equation and carry out supporting numerical studies. Of particular interest are questions associated with the approximation of progressive wave solutions with minimum speed and the viability of the least‐squares approach for this class of problem. © 1995 John Wiley & Sons, Inc.