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Numerical Solution of a Nonlinear Integro-Differential Equation

Numerical Analysis 2016-03-08 v1

Abstract

An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction A+AA + 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=2d=2 a regularization is used. Some numerical results are presented.

Keywords

Cite

@article{arxiv.1603.02067,
  title  = {Numerical Solution of a Nonlinear Integro-Differential Equation},
  author = {J. Buša and M. Hnatič and J. Honkonen and T. Lučivjanský},
  journal= {arXiv preprint arXiv:1603.02067},
  year   = {2016}
}

Comments

6 pages, 2 figures, 1 table

R2 v1 2026-06-22T13:05:14.972Z