Integral method of analysis for chemical reaction in a nonisothermal finite cylindrical catalyst pellet-II. Robin problem

Mukkavilli, S.; Tavlarides, Lawrence L.; Wittmann, Charles V.

doi:10.1016/0009-2509(87)80207-5

Cited by 11 publications

(1 citation statement)

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“…Later on, Kesten [11] applied the IEF to obtain concentration profiles for ammonia decomposition in a spherical catalytic pellet. Mukkavilli et al [15,16] presented and solved numerically an integral equation for nonisothermal reaction in a finite cylinder with and without taking into account external mass and energy transport resistances. Recently, Onyejekwe [17] explored the advantages of Green's function solution for nonlinear reaction-diffusion equations.…”

Section: Green's Function Formulationmentioning

confidence: 99%

Non-standard finite-differences schemes for generalized reaction–diffusion equations

Alvarez-Ramı́rez

Valdés‐Parada

2009

Journal of Computational and Applied Mathematics

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a b s t r a c tReaction-diffusion equations are commonly used in different science and engineering fields to describe spatial patterns arising from the interaction of chemical or biochemical reactions and diffusive transport mechanisms. In this work we design, in a systematic way, non-standard finite-differences (FD) schemes for a class of reaction-diffusion equations of the form 1, where σ is the shape power that accounts for the complexity of the domain geometry. The proposed FD scheme, that is derived from a Green's function formulation, replicates the underlying geometry and reduces to traditional FD schemes for sufficiently small values of the grid spacing. Numerical results show that the non-standard FD scheme offers smaller approximation errors with respect to traditional schemes, specially for coarse grids.

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