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This coefficient is a systemic property that depends not only on the properties of the perturbed reaction but also on those of the other reactions and the topology of the network structure of the entire pathway.
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In this paper, we consider a singularly perturbed reaction-diffusion problem with a discontinuous source term.
This hybrid difference scheme for the singularly perturbed reaction-diffusion problem with a discontinuous source term is a modification of the difference scheme used in [11 14] for the singularly perturbed reaction-diffusion problem with sufficiently smooth data.
However, only few results for singularly perturbed reaction-diffusion equations with nonsmooth data are reported in the literature.
This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types.
Rao and Chawla [9] used a first-order convergent difference scheme for a coupled system of singularly perturbed reaction-diffusion equations with discontinuous source terms.
In this paper, we presented a high-order finite difference method for solving a singularly perturbed reaction-diffusion problem with a discontinuous source term.
Examples of nonlinear elliptic singularly perturbed reaction-diffusion equation having non-linearity in homogeneous/non-homogeneous form are considered to show the existence of multi-peak solutions.
The multi-peak solutions of non-linear elliptic singularly perturbed reaction-diffusion equations do not appear to have been previously studied in detail, computationally.
Our hybrid difference scheme for problem (1.1 - 1.2 1.1 - 1.2isication of the Numodification used in [11–14] fof singularly perthebed reactioNumerovschemeroblems with susedcinntly smooth data.
We are going to prove that the evolution process generated by a family of singularly perturbed reaction-diffusion equations, which is equivalent in the autonomous case to the flow generated by such a family, converges to the evolution process generated by a limiting equation posed in a lower dimensional domain.
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