Numerical solution of the 1 + 2 dimensional Fisher's equation by finite elements and the Galerkin method

Mathematical and Computer Modelling

Volumn 25, Issue 3, 1997, Pages 57-67

  Roessler, J ^a   Hussner H ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

1 + 2 dimensional Fisher equation; Finite elements; Numerical solutions; Reef growth simulation

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA;

FISHER'S EQUATIONS; GALERKIN METHOD;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031079549     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00015-0     Document Type: Article

References (4)

1. 1. S. Tang and R.O. Weber, Numerical study of Fisher's equation by a Petrov-Galerkin finite element method, Jour. Austr. Math. Soc. 33, 27-38 (1991).
2. 2. T. Mavounugou and Y. Cerrault, Numerical study of Fisher's equation by Adomian's method, Mathl. Comput. Modelling 19 (1), 89-95 (1994).
3. 3. L. Shampine, H.A. Watts and S. Davenport, Solving nonstiff differential equations - The state of the art, SIAM Rev. 18 (3) (1976).
4. 4. P.L. Sachdev, Nonlinear Diffusive Waves, Cambridge University Press, (1987).