Numerical solutions of boundary value problems with finite difference method / Sujaul Chowdhury, Ponkog Kumar Das and Syed Badiuzzaman Faruque.

By: Chowdhury, Sujaul [author.]Contributor(s): Das, Ponkog Kumar [author.] | Faruque, Syed Badiuzzaman [author.] | Morgan & Claypool Publishers [publisher.] | Institute of Physics, IOP - EBA (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 5 | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]Description: 1 online resource (various pagings) : illustrationsContent type: text Media type: electronic Carrier type: online resourceISBN: 9781643272801 ebookSubject(s): Boundary value problems -- Numerical solutions | Finite differences | Applied physics | SCIENCE / Applied SciencesAdditional physical formats: Print version:: No titleDDC classification: 515/.35 LOC classification: QA379 .C566 2018ebOnline resources: e-book Full-text access Also available in print.
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 --
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 equ
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.
Abstract: The book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equatio

"Version: 20180901"--Title page verso.

"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.

Includes bibliographical references.

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 --

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 equ

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.

The book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equatio

Undergraduate students of mathematics, physics and engineering wishing to get adept in numerical solutions of boundary value problems with finite difference method will be delighted to get this book or e-book.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Sujaul Chowdhury is a Professor in Department of Physics, Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a BSc (Honours) in physics in 1994 and MSc in physics in 1996 from SUST. He obtained a PhD in physics from T

Title from PDF title page (viewed on October 16, 2018).