Approximate Solution of System of Non-linear Partial Differential Equations

Abstract

This thesis is aimed to obtain approximate closed-form solution of non-linear partial differential equations representing the boundary layer flow on to a flat stretching surface in the rotating fluid. The study of flow in a rotating fluid is considered because it has a large number of applications. Many of the natural phenomena, when formulated mathematically, result in such non-linear systems of partial differential equations whose exact solution is not easy to find. In such situations, one looks for approximate solutions. In this thesis, we have used the approach to first reduce the non-linear partial differential equations to ordinary differen tial equations by similarity variables. Then, obtain numerical solution of the reduced ordinary differential equations. After this, the numerical solution is approximated by an appropriate function. Finally, using the similarity transformations, approximate closed-form solution of the original system of non-linear partial differential equations is obtained.