2003
DOI: 10.1016/s0955-7997(03)00059-6
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The two-dimensional reaction–diffusion Brusselator system: a dual-reciprocity boundary element solution

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Cited by 46 publications
(37 citation statements)
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“…In our calculations we have used 89 nodes for DRBEM-FEM and 16 nodes for DQM-FEM to catch the behavior of the solution. The number of collocation points used in DQM solution is considerably small comparing to the number of points used in [16] and DRBEM procedure used in this study.…”
Section: Nonlinear Reaction-diffusion Equationmentioning
confidence: 97%
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“…In our calculations we have used 89 nodes for DRBEM-FEM and 16 nodes for DQM-FEM to catch the behavior of the solution. The number of collocation points used in DQM solution is considerably small comparing to the number of points used in [16] and DRBEM procedure used in this study.…”
Section: Nonlinear Reaction-diffusion Equationmentioning
confidence: 97%
“…It is reported in [15,16] that the solution (u, v) of the system (53) tends to (1, 1/2) for increasing t. For the time discretization M is taken as 4 in each time block. The time step Dt = 0.1 is found to be suitable as is the case in the first problem.…”
Section: Nonlinear Reaction-diffusion Equationmentioning
confidence: 99%
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“…Author of [55] presented a solution for the reaction-diffusion Brusselator equation using the decomposition method of Adomian. The main aim of [56] is to apply the dual-reciprocity boundary element method for the numerical solution of a class of twodimensional reaction-diffusion Brusselator system which arises in the modeling of certain chemical reaction-diffusion processes. Authors of [57] introduced the local extrapolation of first order locally one-dimensional exponential time differencing scheme for the numerical solution of multi-dimensional nonlinear reaction-diffusion systems.…”
Section: The Brusselator Modelmentioning
confidence: 99%