Many mathematical models can be developed in terms of the rates of change of one or more physical variables and naturally result in differential equations. Such equations have varying degrees of difficulty but the total number of differential equations which can be solved analytically is very small when compared with all those possible. However, the advent of easily programmed computers, of varying sizes, has brought about a revolution in the type of methods available for finding good approximate solutions of such problems. This book considers some of the techniques which can be employed and also explains why others should not be used. In this revised edition, the author has brought the book up to date with extensive modification and revision, to make it more appropriate for its intended audience of advanced students and research workers in science and engineering.
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