Approximate Solution of the Nonlinear Heat Conduction Equation in a Semi-Infinite Domain

Abstract

We use an approximation method to study the solution to a nonlinear heat conduction equation in a semi-infinite domain. By expanding an energy density function defined as the internal energy per unit volume as a Taylor polynomial in a spatial domain, we reduce the partial differential equation to a set of first-order ordinary differential equations in time… (More)

Topics

10 Figures and Tables

Slides referencing similar topics