Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations (Hardcover)

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.

General

Imprint:	Taylor & Francis
Country of origin:	United Kingdom
Release date:	October 2021
First published:	2022
Authors:	Sujaul Chowdhury • Syed Badiuzzaman Faruque • Ponkog Kumar Das
Dimensions:	216 x 138 x 13mm (L x W x T)
Format:	Hardcover
Pages:	100
ISBN-13:	978-1-03-206995-1
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	1-03-206995-3
Barcode:	9781032069951

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