| Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations Contributor(s): Chowdhury, Sujaul (Author), Faruque, Syed Badiuzzaman (Author), Das, Ponkog Kumar (Author) |
|
 |
ISBN: 1032069953 ISBN-13: 9781032069951 Publisher: CRC Press OUR PRICE: $61.70 Product Type: Hardcover - Other Formats Published: October 2021 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational |
| Dewey: 515.355 |
| LCCN: 2021032684 |
| Physical Information: 0.31" H x 5.5" W x 8.5" (0.61 lbs) 100 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |