Advanced Techniques in Differential Calculus

The work in hand aims at studying the Numerical solutions of higher order differential equations with different techniques. Numerical Analysis takes into account the tremendous role that computers play to help solve scientific and engineering problems. Numerical Analysis comprises of three main parts: Mathematical Foundation, Scientific and Engineering applications of methods and Computer Implementation. I have introduced many new methods for evaluating error estimation of higher order differential equations. Different types of differential equations yield more efficient and accurate results when solved with the application of these new techniques. Throughout the book, the subject matter has been discussed in a simple, logical and systematic manner, thus making it easily understandable. The students of any branch of mathematics will be able to perform well to supplement their usual mathematical equipment with a define knowledge of the numerical side of mathematical analysis.