Dr. Jugal Mohapatra, is currently working as an Associate Professor in the department of Mathematics, National Institute of Technology Rourkela, India (Joined since 2011). His research interest includes Numerical Analysis in particular numerics of singularly perturbed differential equations.
The main purpose of this chapter is to describe the application of perturbation expansion techniques to the solution of differential equations. Approximate expressions are generated in the form of asymptotic series. These may not and often do not converge but in a truncated form of only two or three terms, provide a useful approximation to the original problem. These analytical techniques provide an alternative to the direct computer solution. Before attempting to solve these problems numerically, one should have an awareness of the perturbation approach.
Part of the book: A Collection of Papers on Chaos Theory and Its Applications