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ZHANG Li-fang, WANG Yuan-ming. A Finite Difference Scheme for Nonlinear Reaction-diffusion Equations with Time Delay[J]. Journal of East China Normal University (Natural Sciences), 2004, (4): 16-23.
Citation:
ZHANG Li-fang, WANG Yuan-ming. A Finite Difference Scheme for Nonlinear Reaction-diffusion Equations with Time Delay[J]. Journal of East China Normal University (Natural Sciences), 2004, (4): 16-23.
ZHANG Li-fang, WANG Yuan-ming. A Finite Difference Scheme for Nonlinear Reaction-diffusion Equations with Time Delay[J]. Journal of East China Normal University (Natural Sciences), 2004, (4): 16-23.
Citation:
ZHANG Li-fang, WANG Yuan-ming. A Finite Difference Scheme for Nonlinear Reaction-diffusion Equations with Time Delay[J]. Journal of East China Normal University (Natural Sciences), 2004, (4): 16-23.
A finite difference scheme with the accuracy of fourth order in space and second order in time is proposed for solving a nonlinear reaction-diffusion equation with time delay. Existence and uniqueness of the solution is given by the method of upper and lower solutions. A monotone iteration is also developed for the computation of the finite difference solution. The convergence of the scheme is discussed. The numerical results shows the advantages of the method.
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