In this book, the eigenvalue problems for ordinary differential equation with boundary conditions is considered. We proposed the semi analytic technique to solve non ¿ singular eigenvalue problems using osculator interpolation. The technique finds the eigenvalue and the corresponding nonzero eigenvector which represent the solution of the problem in a certain domain. Many applications in mathematical physics and electromagnetic or elastic wave equations, chemical reaction theory, radiative heat transfer and nanotechnology such the Mathieu differential equation and Bratu equation are presented.

Luma N. M Tawfiq received her Ph.D. degree in the ANN and its applications, in 2004, from the University of Baghdad, Iraq. She was a Lecturer at the University of Baghdad. Tawfiq has published 135 researches, also, she supervised many MSc. and Ph.D. theses. Hassan Z. Mjthap obtained his MSc. degree in 2014 from Baghdad University.