The book presents in comprehensive detail numerical solution to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations lead to a system of non-linear algebraic equations which we have solved using Newton's iterative method. In each case, we have also obtained Euler solutions and ascertained that the iterations converge and converge to Euler solutions. We find that, except for the boundary values, initial values of the 1st iteration need not be anything close to the final convergent values of the numerical solution. Programs in Mathematica 6.0 were written to obtain the numerical solutions.

Book Information
ISBN 9781032069951
Author Sujaul Chowdhury
Format Hardback
Page Count 80
Imprint Taylor & Francis Ltd
Publisher Taylor & Francis Ltd
Weight(grams) 138g