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Numerical investigation of the solution of Fisher's equation via the B‐spline Galerkin method
Author(s) -
Dağ İdris,
Şahin Ali,
Korkmaz Alper
Publication year - 2010
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.20507
Subject(s) - mathematics , galerkin method , partial differential equation , quadratic equation , mathematical analysis , fisher equation , b spline , numerical analysis , reaction–diffusion system , partial derivative , spline (mechanical) , finite element method , geometry , physics , real interest rate , monetary economics , economics , thermodynamics , interest rate
Abstract The Galerkin method is used with quadratic B‐spline base functions to obtain the numerical solutions of Fisher's equation which is a one dimensional reaction‐diffusion equation. To observe the effects of reaction and diffusion, four test problems related to pulse disturbance, step disturbance, super‐speed wave and strong reaction are studied. A comparison is performed between the obtained numerical results and some earlier studies. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010