Numerical Solutions of Initial Value Problems Using Mathematica

Author:   Sujaul Chowdhury ,  Ponkog Kumar Das
Publisher:   Morgan & Claypool Publishers
ISBN:  

9781681749778


Pages:   58
Publication Date:   30 June 2018
Format:   Hardback
Availability:   In stock   Availability explained
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Numerical Solutions of Initial Value Problems Using Mathematica


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Overview

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.

Full Product Details

Author:   Sujaul Chowdhury ,  Ponkog Kumar Das
Publisher:   Morgan & Claypool Publishers
Imprint:   Morgan & Claypool Publishers
Dimensions:   Width: 17.80cm , Height: 0.60cm , Length: 25.40cm
Weight:   0.825kg
ISBN:  

9781681749778


ISBN 10:   1681749777
Pages:   58
Publication Date:   30 June 2018
Audience:   General/trade ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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

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Author Information

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. 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.

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