Shooting Method to Some Problems of Fluid Mechanics: Computer Oriented Numerical Analysis

Electronic computers have opened up vast fields in the world of science and Engineering. In many Engineering designs where only guessed solutions could be tested till now, it has become possible to optimize the designs by testing the various permutations and combinations of loads, strengths and configurations. Problems which could not possibly be touched so far due to prohibitive computational time involved are now amenable to solution. The widespread use of digital computers has revolutionized numerical analysis. The classical method of polynomial interpolation is replaced by computer oriented numerical methods. The methods of solving algebraic and transcendental equations have been modified so as to provide facilities for computation in digital computers. Some of the well known problems of fluid mechanics have been subjected to modern methods with the view to examine (i) the convergence of the new methods, (ii) whether the solution is improved in accuracy etc. The purpose of this book is to discuss how to apply computer oriented numerical approach to solve this unsolved problems.