Numerical Solution of a Nonlinear Integro-Differential Equation

Abstract

An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction $A+A\to \varnothing$ modeling is discussed. Finite difference method together with the linear approximation of the unknown function is considered. For divergent integrals presented in the equation for dimension $d=2$ a regularization is used. Some numerical results are presented.

6 pages, 2 figures, 1 table

References in corpus (1)

• Two-loop calculation of anomalous kinetics of the reaction $A+A\to \varnothing$ in randomly stirred fluid