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

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Synopsis
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.
Copyright:
2022

Book Details

Book Quality:
Publisher Quality
Book Size:
100 Pages
ISBN-13:
9781000486148
Related ISBNs:
9781003204916, 9781032149295, 9781032069951
Publisher:
CRC Press
Date of Addition:
Copyrighted By:
Sujaul Chowdhury, Syed Badiuzzaman Faruque and Ponkog Kumar Das, CRC Press is an imprint of Taylor & Francis Group, LLC Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility fo
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Earth Sciences, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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