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

Sujaul Chowdhury
Syed Badiuzzaman Faruque
Ponkog Kumar Das
Book information

Publisher: CRC Press
Copyright year: 2021
ISBN: 9781032069951
Medium: Hardcover
Pages: 110
Out of print?: N
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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, 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.

*Applied Mathematics > Numerical Methods