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Numerical Solutions of Boundary Value Problems with Finite Difference Method

Name: Numerical Solutions of Boundary Value Problems with Finite Difference Method
Brand: IOP Publishing
SKU: 50343907
Price: 55.69 EUR
Availability: InStock
Author: Sujaul Chowdhury
ISBN: 9780750329385

Sujaul Chowdhury

Ponkog Kumar Das

Syed Badiuzzaman Faruque

Language

English

Book Paperback

Libristo code: 50343907

Publishers IOP Publishing, September 2018

Containing an extensive illustration of the use of finite difference method in solving boundary valu... Full description

Libristo code: 50343907

136 b

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Containing an extensive illustration of the use of finite difference method in solving boundary value problems numerically, a wide class of differential equations have been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, special functions such as Hermite, Laguerre and Legendre are solved. Airy function, stationary localised wavepacket, the quantum mechanical problem of the particle in a 1D box and polar equation of motion under gravitational interaction are also explored.

Aimed at ensuring readers become adept in using the method, Mathematica 6.0 is used to solve systems of linear equations, and to plot the numerical data, and comparison with known analytic solutions showed nearly perfect agreement in every case.