Numerical Solutions of Boundary Value Problems with Finite Difference Method

Erscheinungsjahr 2018
ISBN: 978-1-64327-277-1
Verlag: IOP Concise Physics

Buch, Englisch, 86 Seiten, Paperback, Format (B × H): 178 mm x 254 mm, Gewicht: 184 g

This 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 equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.

Autoren/Hrsg.

Chowdhury, Sujaul

Das, Ponkog Kumar

Faruque, Syed Badiuzzaman

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Naturwissenschaften, Technik, Medizin
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

- Author biographies
- 1. A numerical solution of boundary value problem using finite difference method
- 2. Differential equations of some elementary functions: boundary value problems numerically solved using finite difference method
- 3. Differential equations of special functions: boundary value problems numerically solved using finite difference method
- 4. Differential equation of Airy function: boundary value problem numerically solved using finite difference method
- 5. Differential equation of stationary localised wavepacket: boundary value problem numerically solved using finite difference method
- 6. Particle in a box: boundary value problem numerically solved used finite difference method
- 7. Motion under gravitational interaction: boundary value problem numerically solved using finite difference method
- 8. Concluding remarks

Über Autor(innen)

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 The University of Glasgow, UK in 2001. He was a Humboldt Research Fellow for one year at The Max Planck Institute, Stuttgart, Germany. He is the author of the book Numerical Solutions of Initial Value Problems Using Mathematica.

Ponkog Kumar Das is an Assistant Professor in Department of Physics, SUST. He obtained a BSc (Honours) and MSc in Physics from SUST. He is a co-author of the book Numerical Solutions of Initial Value Problems Using Mathematica.

Syed Badiuzzaman Faruque is a Professor in Department of Physics, SUST. He is a researcher with interest in Quantum Theory, Gravitational Physics, Material Science etc. He has been teaching Physics at university level for about 26 years. He studied Physics in The University of Dhaka, Bangladesh and in The University of Massachusetts Dartmouth, and did PhD in SUST.