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  • Format: ePub

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
…mehr

Produktbeschreibung
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.


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Autorenporträt
Sujaul Chowdhury is a Professor in Department of Physics at Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a BSc in physics in 1994 and a MSc in physics in 1996 from SUST. He obtained a PhD in physics from 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 Numerical Solutions of Initial Value Problems Using Mathematica.
Ponkog Kumar Das is an Assistant Professor in Department of Physics at SUST. He obtained a BSc and MSc in physics from SUST. He is a co-author of Numerical Solutions of Initial Value Problems Using Mathematica.
Syed Badiuzzaman Faruque is a Professor in the Department of Physics at SUST. He is a researcher with interest in quantum theory, gravitational physics and material science. He has been teaching physics at university level for about 26 years. He studied physics at the University of Dhaka, Bangladesh, and the University of Massachusetts Dartmouth, USA, and obtained his PhD from SUST.