Advances in Dynamical Systems and Applications
  • Year: 2006
  • Volume: 1
  • Issue: 2

The Similarity Solution to a Generalized Diffusion Equation with Convection

  • Author:
  • Meihong Guan1, Liancun Zheng1, Xinxin Zhang2
  • Total Page Count: 7
  • Page Number: 183 to 189

1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China. E-mail: liancunzheng@sina.com

2Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China. E-mail: xxzhang@me.ustb.edu.cn

AMS subject classification: 34B15.

Abstract

This paper deals with a singular nonlinear two-point boundary value problem arising in the initial boundary value problem of a generalized diffusion equation. The existence and uniqueness of the positive solution to the problem is established by utilizing the perturbation technique and a fixed point theorem.

Keywords

Generalized diffusion, similarity solution, singular boundary value problem