Levy H., Baggott E.A. Numerical Solutions of Differential Equations

Dover Publications, 1950. - 238 Pages.The primary emphasis in this time-saving volume is on methods of solving ODEs of the first and higher orders. Most of familiar methods and many ones are presented, all subject to two basic requirements:
1) they must be easy to grasp and practical,
2) they must offer rapid solutions than ordinary school methods.Beginning with geometrical properties useful in the applications of graphical methods, the authors proceed to the numerical solution of differential equations. They discuss the methods of Frobenius involving power series; those of Euler, Runge and Kutta expressing values of y corresponding to tabulated values of x; and numerous others, both classical and modern.