A variational approach for a class of nonlocal elliptic boundary value problems

摘要

The aim of this paper is to apply the variational iteration method to a class of nonlinear, nonlocal, elliptic boundary value problems. The uniform convergence of the scheme is presented and the work is illustrated by considering a number of test examples that confirm the accuracy and efficacy of the iterative process. The computational results show that the scheme is reliable, converges fast and compares very well with the existing analytic solutions.