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Calculation of the second term of the exact Green's function of the diffusion equation for diffusion-controlled chemical reactions
Computer Physics Communications
The exact Green's function of the diffusion equation (GFDE) is often considered to be the gold standard for the simulation of partially diffusion-controlled reactions. As the GFDE with angular dependency is quite complex, the radial GFDE is more often used. Indeed, the exact GFDE is expressed as a Legendre expansion, the coefficients of which are given in terms of an integral comprising Bessel functions. This integral does not seem to have been evaluated analytically in existing literature.doi:10.1016/j.cpc.2015.09.001 fatcat:la54wuyifrc5vhgawkhl4cxvei