Nonlinear Partial Differential Equations

Abstract

In the previous chapters, we discussed the solution of linear partial differential equations. Special focus was given to the solution of internal heat transfer problems for duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations . The present chapter provides a short overview on some selected solution methods for nonlinear partial differential equations for heat transfer and fluid flow problems. The solution approaches discussed here include, for example, the method of separation of variables, the Kirchoff transformation, and special solutions for the energy equation. However, the final point of this chapter is on similarity solution.