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Numerical Solutions of Initial Value Problems Using Mathematica
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31 May 2018

Sujaul Chowdhury is a Professor in the Department of Physics, Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a BSc (Honours) in physics in 1994 and an 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.
Ponkog Kumar Das is an Assistant Professor in the Department of Physics, SUST. He obtained a BSc (Honours) and MS in physics from SUST. He is a promising future intellect. The work has been done by the two authors using the computational facility in Nanostructure Physics Computational Lab in the Department of Physics, SUST.
Chapter I Numerical solution of differential equation using Euler and 2nd order Runge-Kutta methods 1.1 Euler solution of differential equation 1.2 2nd order Runge-Kutta solution of differential equation
Chapter II Motion under constant force: numerical solution of differential equation using Euler and 2nd order Runge-Kutta methods using Mathematica 2.1 Motion under constant force: the differential equations of themotion 2.2 Euler solution of free fall using Mathematica 6.0 2.3 Runge-Kutta solution of free fall using Mathematica 6.0
Chapter III Simple harmonic oscillator: numerical solution of differential equation using Euler and 2nd order Runge-Kutta methods using Mathematica 3.1 Motion under Hooke’s law force: the differential equations of the motion 3.2 Euler solution of simple harmonic oscillation using Mathematica 6.0 3.3 Runge-Kutta solution of simple harmonic oscillation using Mathematica 6.0
Chapter IV Damped harmonic oscillator: numerical solution of differential equation using Euler and 2nd order Runge-Kutta methods using Mathematica 4.1 Damped harmonic oscillator: the differential equations of the motion 4.2 Euler solution of damped harmonic oscillation using Mathematica 6.0 4.3 Runge-Kutta solution of damped harmonic oscillation using Mathematica 6.0
Chapter V Radioactive decay: numerical solution of differential equation using Euler and 2nd order Runge-Kutta methods using Mathematica 5.1 The differential equation for radioactive decay 5.2 Euler solution of radioactive decay law using Mathematica 6.0 5.3 Runge-Kutta solution of radioactive decay law using Mathematica 6.0
Chapter VI Miscellaneous use of Mathematica in computational Physics 6.1 Dealing with complex numbers using mathematica 6.2 Solution of a system of linear equations using mathematica 6.3 Differentiation and integration using mathematica 6.4 Dealing with matrices using Mathematica