Numerical Solutions of Initial Value Problems Using Mathematica
Published on 6. June 2018
Book
Hardback
58 pages
978-1-68174-977-8 (ISBN)
Description
The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.
More details
Series
Language
English
Place of publication
San Rafael
United States
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 8 mm
Weight
320 gr
ISBN-13
978-1-68174-977-8 (9781681749778)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
Content
- Author biographies
- 1. Numerical solution of differential equations using Euler and second order Runge-Kutta methods
- 2. Motion under constant force: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
- 3. Simple harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
- 4. Damped harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
- 5. Radioactive decay: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
- 6. Miscellaneous use of Mathematica in computational physics
- 1. Numerical solution of differential equations using Euler and second order Runge-Kutta methods
- 2. Motion under constant force: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
- 3. Simple harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
- 4. Damped harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
- 5. Radioactive decay: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
- 6. Miscellaneous use of Mathematica in computational physics