Results 71 to 80 of about 469,036 (195)

Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

, 2009
In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
core   +1 more source

Critical Domain Problem for the Reaction–Telegraph Equation Model of Population Dynamics

Mathematics, 2018
A telegraph equation is believed to be an appropriate model of population dynamics as it accounts for the directional persistence of individual animal movement.
Weam Alharbi, Sergei Petrovskii
doaj   +1 more source

Effects of Transport Memory and Nonlinear Damping in a Generalized Fisher's Equation

, 2001
Memory effects in transport require, for their incorporation into reaction diffusion investigations, a generalization of traditional equations. The well-known Fisher's equation, which combines diffusion with a logistic nonlinearity, is generalized to ...
A. R. Bishop, A. S. Mikhailov, C. Borzi, C. Schat, G. Abramson, G. Izús, H.P. McKean, J. Canosa, J. D. Murray, K.K. Manne, P. M. Morse, R.A. Fisher, S. Fedotov, S. Koga, S.A. Hassan, T. Ohta, T. Ohta, T. Ohta, V. M. Kenkre, V. M. Kenkre, V. M. Kenkre, W. van Saarloos, W. van Saarloos   +22 more
core   +1 more source

Waveform relaxation for reaction–diffusion equations

Journal of Computational and Applied Mathematics, 2011
The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Liu, Jun, Jiang, Yao-Lin
openaire   +2 more sources

Fourth order Douglas implicit scheme for solving three dimension reaction diffusion equation with non-linear source term

AIP Advances, 2017
This research paper represents a numerical approximation to non-linear three dimension reaction diffusion equation with non-linear source term from population genetics.
Shahid Hasnain, Muhammad Saqib, Daoud Suleiman Mashat   +2 more
doaj   +1 more source

Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium

, 1998
The amoeboid organism, the plasmodium of Physarum polycephalum, behaves on the basis of spatio-temporal pattern formation by local contraction-oscillators.
A. B. Rovinsky, A. B. Rovinsky, A. C. Newell, A. Grebecki, A. J. Perumpanani, A. Takamatsu, D. A. Pavlov, D. A. Smith, E. F. Keller, E. F. Keller, G. F. Oster, H. T. Moon, H. T. Moon, Hiroyasu Yamada, J. T. Stuart, K. Matsumoto, K. Nozaki, K. Nozaki, K. Takahashi, L. R. Keefe, L. R. Keefe, M. Ishigami, M. Menzinger, M. Mimura, Masami Ito, N. Kamiya, N. Kamiya, S. Ei, S. Ogihara, T. Höfer, T. Nakagaki, T. Ueda, T. Ueda, Toshiyuki Nakagaki, V. A. Teplov, W. Naib-Majani, W. van Saarloos, Y. Kuramoto, Y. Miyake, Y. Miyake, Y. Miyake, Y. Yoshimoto, Y. Yoshimoto, Y. Yoshimoto, Z. Baranowski   +44 more
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Difference approximations of "reaction - diffusion" equation on a segment

Моделирование и анализ информационных систем, 2009
The system of phase differences for a chain of diffuse weakly coupled oscillators on a stable integral manifold is constructed and analysed. It is shown by means of numerical methods that as the number of oscillators in the chain increases, the Lyapunov ...
S. D. Glyzin
doaj  

Two-Dimensional Time-Fractional Nonlinear Drift Reaction–Diffusion Equation Arising in Electrical Field

Fractal and Fractional
Diffusion equations play a crucial role in various scientific and technological domains, including mathematical biology, physics, electrical engineering, and mathematics. This article presents a new formulation of the diffusion equation in the context of
Anjuman, Andrew Y. T. Leung, Subir Das
doaj   +1 more source

Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

Ain Shams Engineering Journal, 2018
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
doaj   +1 more source

Field Theory of Propagating Reaction-Diffusion Fronts

, 2004
The problem of velocity selection of reaction-diffusion fronts has been widely investigated. While the mean field limit results are well known theoretically, there is a lack of analytic progress in those cases in which fluctuations are to be taken into ...
A. I. Kolmogorov, C. Escudero, J. D. Murray, J. Zinn-Justin, L. Peliti, R. A. Fisher   +5 more
core   +1 more source