Non-local second-order boundary value problems with exponential nonlinearity

Abstract

In this article, the Numerical treatment (Impilict-Explicite) was applied, for solving problems- related to the nonlocal second-order boundary value problem with exponential nonlinearity. The finite difference method of treatment of the BVP is used as implicit technique within the smallest available subdomain, . A reduced system of nonlinear algebraic equations corresponding to standard BVP is generated within the smallest domain, . A reduction of the computational work is introduced through reducing the size of the nonlinear algebraic system. A marching explicit approach is reemployed to generate the solution in , the complement of the interval with respect to the overall domain. Simple numerical experiments confirming the applicability of the treatment are introduced.