메뉴 건너뛰기




Volumn 84, Issue 12, 2005, Pages 1231-1246

Qualitative behavior of numerical traveling solutions for reaction–diffusion equations with memory

Author keywords

1991 Mathematics Subject Classifications: 65M06; 65M15; 65M20; Fisher equation; Integro differential equation; Numerical approximation; Traveling wave solution

Indexed keywords


EID: 34848874451     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810500048277     Document Type: Article
Times cited : (27)

References (11)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion in population genetics
    • Aronson, DG, and Weinberger, HF. 1978. Multidimensional nonlinear diffusion in population genetics. Advances in Mathematics, 30: 33–76.
    • (1978) Advances in Mathematics , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 34250973096 scopus 로고
    • Numerical methods for integro-differential equations of parabolic and hyperbolic type
    • Douglas, J, and Jones Jr., BF. 1962. Numerical methods for integro-differential equations of parabolic and hyperbolic type. Numerische Mathematik, 4: 96–102.
    • (1962) Numerische Mathematik , vol.4 , pp. 96-102
    • Douglas, J.1    Jones, B.F.2
  • 3
    • 0001185435 scopus 로고    scopus 로고
    • Traveling waves in a reaction–diffusion system: diffusion with finite velocity and Kolmogorov–Petrovski–Piskunov kinectics
    • Fedotov, S. 1998. Traveling waves in a reaction–diffusion system: diffusion with finite velocity and Kolmogorov–Petrovski–Piskunov kinectics. Physical Review E, 5 (4): 5143–5145.
    • (1998) Physical Review E , vol.5 , Issue.4 , pp. 5143-5145
    • Fedotov, S.1
  • 4
    • 0001346214 scopus 로고    scopus 로고
    • Nonuniform reaction rate distribution for the generalized Fisher equation: ignition ahead of the reaction front
    • Fedotov, S. 1999. Nonuniform reaction rate distribution for the generalized Fisher equation: ignition ahead of the reaction front. Physical Review E, 60 (4): 4958–4961.
    • (1999) Physical Review E , vol.60 , Issue.4 , pp. 4958-4961
    • Fedotov, S.1
  • 5
    • 0035131952 scopus 로고    scopus 로고
    • Front propagation into an unstable state of reaction–transport systems
    • Fedotov, S. 2001. Front propagation into an unstable state of reaction–transport systems. Physical Review Letter, 86 (5): 926–929.
    • (2001) Physical Review Letter , vol.86 , Issue.5 , pp. 926-929
    • Fedotov, S.1
  • 6
    • 84941478098 scopus 로고    scopus 로고
    • 3rd Edn, Berlin
    • Murray JD, 2003 Mathematical Biology-I, II: Spatial Models and Biomedical Applications 3rd Edn Berlin Springer-Verlag
    • (2003) Springer-Verlag
    • Murray, J.D.1
  • 7
    • 0001377898 scopus 로고    scopus 로고
    • Dynamic and thermodynamics of delayed population growth
    • Mendez, V, and Camacho, J. 1997. Dynamic and thermodynamics of delayed population growth. Physical Review E, 55 (6): 6476–6482.
    • (1997) Physical Review E , vol.55 , Issue.6 , pp. 6476-6482
    • Mendez, V.1    Camacho, J.2
  • 8
    • 0038425187 scopus 로고    scopus 로고
    • Hyperbolic reaction-diffusion equations for a forest fire model
    • Mendez, V, and Llebot, J. 1997. Hyperbolic reaction-diffusion equations for a forest fire model. Physical Review E, 56 (6): 6557–6563.
    • (1997) Physical Review E , vol.56 , Issue.6 , pp. 6557-6563
    • Mendez, V.1    Llebot, J.2
  • 9
    • 41349109505 scopus 로고    scopus 로고
    • Dispersal probability distributions and the wave front speed problem
    • 041109
    • Mendez V, Pujol T, Fort J, 2002 Dispersal probability distributions and the wave front speed problem Physical Review E 65 041109 1 6
    • (2002) Physical Review E , vol.65 , pp. 1-6
    • Mendez, V.1    Pujol, T.2    Fort, J.3
  • 10
    • 0001406595 scopus 로고
    • Time discretization of an integro-differential equation of parabolic type
    • Sloan, IH, and Thomée, V. 1986. Time discretization of an integro-differential equation of parabolic type. SIAM Journal on Numerical Analysis, 23: 1052–1061.
    • (1986) SIAM Journal on Numerical Analysis , vol.23 , pp. 1052-1061
    • Sloan, I.H.1    Thomée, V.2
  • 11
    • 84968507682 scopus 로고
    • On fully discrete Galerkin approximation for partial integro-differential equations of parabolic type
    • Zhang, N-Y. 1993. On fully discrete Galerkin approximation for partial integro-differential equations of parabolic type. Mathematics of Computation, 60 (201): 133–166.
    • (1993) Mathematics of Computation , vol.60 , Issue.201 , pp. 133-166
    • Zhang, N.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.