The steady temperature distributions with different types of nonlinearities
Abstract
The nonlinear two-point boundary value problems are solved and the steady temperature distributions in a rod are found by considering different types of the nonlinear parts of the problems, particularly in the polynomial, exponential and trigonometric forms. In this paper, with the aid of some transformations the variational iteration method's scheme is reproduced for the nonlinear problems including two-point boundary value problems. The illustrative related problems are solved by means of the method scheme. © 2009 Elsevier Ltd. All rights reserved.
Description
Keywords
Boundary value problems , Linearization , Ordinary differential equations , Oscillators (mechanical) , Temperature distribution , Thermal conductivity , Thermoanalysis , Exponential nonlinearity , Strongly nonlinear problem , The variational iteration method , Trigonometric nonlinearity , Two-point boundary value problem , Iterative methods