A numerical method for a class of non-linear integro-differential equations on the half line

5Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

We design and analyse a numerical method for the solution of the following second order integro-differential boundary value problem ν(y)g(y) = ∫ 0 ∞k(x)g(x)dx(D(y)g′(y))′(y), g′(0) = 0,lim y→+∞ g(y)=0, which arises in the study of the kinetic theory of dusty plasmas. The method we propose represents a first insight into the numerical solution of more complicated problems and consists of a discretization of the differential and integral terms and of an iteration process to solve the resulting non-linear system. Under suitable hypotheses we prove the convergence. We will show the characteristics of the method by means of some numerical simulations. © 2012 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Basile, M., Messina, E., Themistoclakis, W., & Vecchio, A. (2012). A numerical method for a class of non-linear integro-differential equations on the half line. In Computers and Mathematics with Applications (Vol. 64, pp. 2354–2363). https://doi.org/10.1016/j.camwa.2012.06.007

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free