Numerical Solution of a Nonlinear Integro-Differential Equation
  An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction $A + A \rightarrow\varnothing$ 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. 
J. Bu\v{s}a, M. Hnati\v{c}, J. Honkonen, T. Lu\v{c}ivjansk\'y
math.NA