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Volumn 45, Issue 1-3, 2003, Pages 429-436

A nonstandard finite difference scheme for a fisher PDE having nonlinear diffusion

Author keywords

Finite difference methods; Fisher equation; Nonlinear diffusion; Nonstandard schemes; Numerical procedures

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFUSION; ECOLOGY; FINITE DIFFERENCE METHOD;

EID: 0037284570     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80028-7     Document Type: Article
Times cited : (52)

References (14)
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    • R.E. Mickens, Nonstandard finite difference schemes for reaction-diffusion equations, Numer. Methods Partial Diff. Eq. 15, 201-214 (1999).
    • (1999) Numer. Methods Partial Diff. Eq. , vol.15 , pp. 201-214
    • Mickens, R.E.1
  • 6
    • 84985304745 scopus 로고
    • Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
    • R.E. Mickens, Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis, Numer. Methods Partial Diff. Eq. 5, 313-325 (1989).
    • (1989) Numer. Methods Partial Diff. Eq. , vol.5 , pp. 313-325
    • Mickens, R.E.1
  • 8
    • 0025599254 scopus 로고
    • Finite-difference models of ODE's: Influence of denominator functions
    • R.E. Mickens and A. Smith, Finite-difference models of ODE's: Influence of denominator functions, J. Franklin Institute 327, 143-149 (1990).
    • (1990) J. Franklin Institute , vol.327 , pp. 143-149
    • Mickens, R.E.1    Smith, A.2
  • 9
    • 0035449292 scopus 로고    scopus 로고
    • Contributions to the mathematics of the nonstandard finite difference method and applications
    • R. Anguelov and J.M.-S. Lubuma, Contributions to the mathematics of the nonstandard finite difference method and applications, Numer. Methods Partial Diff. Eq. 17, 518-543 (2001).
    • (2001) Numer. Methods Partial Diff. Eq. , vol.17 , pp. 518-543
    • Anguelov, R.1    Lubuma, J.M.-S.2
  • 11
    • 84985406715 scopus 로고
    • Construction of a novel finite-difference scheme for a nonlinear diffusion equation
    • R.E. Mickens, Construction of a novel finite-difference scheme for a nonlinear diffusion equation, Numer. Methods Partial Diff. Eq. 7, 299-302 (1991).
    • (1991) Numer. Methods Partial Diff. Eq. , vol.7 , pp. 299-302
    • Mickens, R.E.1
  • 14
    • 0018944419 scopus 로고
    • Some exact solutions to a nonlinear diffusion problem in population genetics and combustion
    • W.I. Newman, Some exact solutions to a nonlinear diffusion problem in population genetics and combustion, J. Theor. Bio. 85, 325-334 (1980).
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    • Newman, W.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.