Numerical Solutions of Initial Value Problems Using Mathematica
 

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.

Table of Contents

Numerical solution of differential equations using Euler and second order Runge-Kutta methods
Motion under constant force: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
Simple harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
Damped harmonic oscillator: numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica
Radioactive decay: numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica
Miscellaneous use of Mathematica in computational physics

About the Author(s)

Sujaul Chowdhury, Shahjalal University of Science and Technology
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. Dr Chowdhury’s academic, scientific, teaching and research achievements can be found in detail at http://schowdhury-phy.weebly.com.

Ponkog Kumar Das, Shahjalal University of Science and Technology
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 promising future intellectual. The work has been done by the two authors using the computational facility in the Nanostructure Physics Computational Lab. in the Department of Physics, SUST.

Related Series

Mathematical Physics