الفهرس 
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Abstract
Ideally, one hopes to find exact solutions of partial differential
equations. In certain instances standard methods of solution (separation
of variables, Laplace transform, etc.) are of value and solutions can be
found. Nevertheless, there is a number of problems in which solutions
can not be found by the usual classical methods. This is particularly true
if the equations encountered are nonlinear. group method is considered one of the important analytical methods for overcoming the difficulties which arise in solving nonlinear partial differential equations. The thesis is focused on the application of group method for solving boundary-value problems. The present procedure is Abd-el-Malek and his Co-workers procedure. Application of s-parameter transformation group reduces the
system of governing partial differential equation(s) with the auxiliary
conditions to a system of ordinary differential equation(s) with the
appropriate corresponding conditions. The reduced system can be solved
analytically or numerically. The thesis shows that the group method can be used to solve homogeneous equations, inhomogeneous equations, linear equations and nonlinear equations. This emphasizes that the group method is not specialized for solving a certain type of equations.