The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity
Abstract
In this paper, two-point boundary value problems have been solved by the well-known variational iteration method. Considering the situation in which the nonlinear part is a polynomial function with degree of ≥ 2, the steady temperature distribution in a rod has been computed. The strongly nonlinear differential equation has been become a reduced differential equation by the aid of a proper transformation and variational iteration method has been applied to the boundary value problem. © 2009 Elsevier Ltd. All rights reserved.
Description
Keywords
Boundary value problems , Control nonlinearities , Linearization , Nonlinear equations , Ordinary differential equations , Temperature distribution , Thermal conductivity , Thermoanalysis , Approximate solution , Higher order nonlinearity , Polynomial functions , Strongly nonlinear , The variational iteration method , Two-point boundary value problem , Variational iteration method , Iterative methods