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商品詳細
Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations.
・ISBN 978-1-032-06995-1 hard GB£ 67.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-003-20491-6
| 著者・編者 | Chowdhury, Sujaul / Faruque, Syed Badiuzzaman / Das, Ponkog Kumar, |
|---|---|
| 出版社 | (Chapman & Hall/CRC, UK) |
| 出版年月 | 2021 |
| ページ数 | 100 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8041＞ |
解説
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.