Numerical investigation of the solution of Fisher's equation via the B‐spline Galerkin method | Zendy

Dağ İdris | Zendy; Şahin Ali | Zendy; Korkmaz Alper | Zendy

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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

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

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