Numerical solutions of boundary value problems with finite difference method /

Bibliographic Details
Main Authors:	Chowdhury, Sujaul (Author), Das, Ponkog Kumar (Author), Faruque, Syed Badiuzzaman (Author)
Format:	eBook
Language:	English
Published:	San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan and Claypool Publishers, [2018]
Series:	IOP (Series). Release 5. IOP concise physics.
Subjects:	Boundary value problems > Numerical solutions. Finite differences. Applied physics. SCIENCE / Applied Sciences.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. A numerical solution of boundary value problem using the finite difference method
1.1. Statement of the problem
1.2. Approximation to derivatives
1.3. The finite difference method
2. Differential equations of some elementary functions : boundary value problems numerically solved using finite difference method
2.1. The differential equation for hyperbolic function
2.2. The differential equation for Cosine function
2.3. The differential equation for Sine function
3. Differential equations of special functions : boundary value problems numerically solved using finite difference method
3.1. The Hermite differential equation
3.2. The Laguerre differential equation
3.3. The Legendre differential equation
4. Differential equation of Airy function : boundary value problem numerically solved using finite difference method
4.1. The differential equation for Airy function
5. Differential equation of stationary localised wavepacket : boundary value problem numerically solved using finite difference method
5.1. Differential equation for stationary localised wavepacket
6. Particle in a box : boundary value problem numerically solved using finite difference method
6.1. The quantum mechanical problem of a particle in a one-dimensional box
7. Motion under gravitational interaction : boundary value problem numerically solved using finite difference method
7.1. Motion under gravitational interaction
8. Concluding remarks.