Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations

The book presents in comprehensive detail numerical solutions to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations leads 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 to Euler solutions. We find that except for the boundary values initi...See More