Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 12
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Original Articles

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

Pages 1231-1246 | Received 01 Apr 2004, Published online: 04 Sep 2006

References

  • Aronson , DG and Weinberger , HF . 1978 . Multidimensional nonlinear diffusion in population genetics . Advances in Mathematics , 30 : 33 – 76 .
  • Douglas , J and Jones Jr. , BF . 1962 . Numerical methods for integro-differential equations of parabolic and hyperbolic type . Numerische Mathematik , 4 : 96 – 102 .
  • 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 .
  • 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 .
  • Fedotov , S . 2001 . Front propagation into an unstable state of reaction – transport systems . Physical Review Letter , 86 ( 5 ) : 926 – 929 .
  • Murray JD 2003 Mathematical Biology-I, II: Spatial Models and Biomedical Applications 3rd Edn Berlin Springer-Verlag
  • Mendez , V and Camacho , J . 1997 . Dynamic and thermodynamics of delayed population growth . Physical Review E , 55 ( 6 ) : 6476 – 6482 .
  • Mendez , V and Llebot , J . 1997 . Hyperbolic reaction-diffusion equations for a forest fire model . Physical Review E , 56 ( 6 ) : 6557 – 6563 .
  • Mendez V Pujol T Fort J 2002 Dispersal probability distributions and the wave front speed problem Physical Review E 65 041109 1 6
  • Sloan , IH and Thomée , V . 1986 . Time discretization of an integro-differential equation of parabolic type . SIAM Journal on Numerical Analysis , 23 : 1052 – 1061 .
  • Zhang , N-Y . 1993 . On fully discrete Galerkin approximation for partial integro-differential equations of parabolic type . Mathematics of Computation , 60 ( 201 ) : 133 – 166 .

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