Comparison of the nodal integral method and nonstandard finite-difference schemes for the Fisher equation

SIAM Journal on Scientific Computing

Volumn 22, Issue 6, 2001, Pages 1926-1942

  Rizwan Uddin, ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Best finite difference schemes; Fisher equation; Nodal integral method; Semianalytical numerical schemes; Wave propagation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; WAVE PROPAGATION;

BEST FINITE DIFFERENCE SCHEMES; FISHER EQUATION; NODAL INTEGRAL METHOD; NONSTANDARD FINITE DIFFERENCE SCHEMES; SEMIANALYTICAL NUMERICAL SCHEMES;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0035683343     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/s1064827597325463     Document Type: Article

References (24)

1. Coarse-mesh flux-expansion method for the analysis of space-time effects in large light water reactor cores
2. The nodal integration method-a diverse solver for neutron diffusion problems
3. A nodal coarse-mesh method for the efficient numerical solution of laminar flow problems
4. A nodal Green's function method for multidimensional neutron diffusion calculations
5. A nodal integral approach to the numerical solution of partial differential equations
6. A general family of nodal schemes
7. Time-dependent nodal integral method for the investigation of bifurcation and nonlinear phenomena in fluid flow and natural convection
8. On the numerical analysis of analytical nodal methods
9. The cell analytical-numerical method for solution of the advection-dispersion equation: Two-dimensional problems
10. An improved coarse mesh nodal integral method for partial differential equations
11. A second order space and time nodal method for the one-dimensional convection-diffusion equation
12. Differential and difference equations
13. Properties of finite-difference models of nonlinear conservative oscillators
14. Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
15. Nonstandard finite difference models of differential equations
16. A best finite-difference scheme for the Fisher equation
17. The wave of advance of advantageous genes
18. Etude de l'equation de la diffusion avec croissance de la quantité de matière et son application à un probleme biologique
19. On a nonlinear diffusion equation describing population growth
20. Numerical solution of Fisher's equation
21. Numerical convective schemes based on accurate computation of space derivatives
22. Nonlinear diffusive waves
23. A hybrid nodal-integral/finite-element method for arbitrary geometries
24. Hybrid numerical methods for the convection-diffusion equation in arbitrary geometries