Computer oriented numerical methods have revolutionized the study of fluid mechanics. The problems of fluid mechanics which left previously due to non availability computing facilities are amenable for solution now-a-days due to computing facilities. The classical method of polynomial interpolation is replaced by computer oriented numerical methods. The method of solving algebraic and transcendental equations, ordinary partial differential equation has been modified so as to provide facilities for computation in digital computers. The numerical methods for the solutions of initial and boundary value problems presented in this book will be helpful to the various researchers and investigators in the field of Fluidmechanics.