Numerical solutions of initial value problems using Mathematica /

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"Version: 20180501"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Numerical solution of differential equations using Euler and second order Runge-Kutta methods -- 1.1. Euler solution of differential equation -- 1.2. Second order Runge-Kutta solution of the differential equation2. Motion under constant force : numerical solution of differential equations using Euler and second order Runge-Kutta methods using Mathematica -- 2.1. Motion under constant force : the differential equations of motion -- 2.2. Euler solution of free fall using Mathematica 6.0 -- 2.3. Runge-Kutta solution of free fall using Mathematica 6.03. Simple harmonic oscillator : numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica -- 3.1. Motion under Hooke's law force : the differential equations of motion -- 3.2. Euler solution of simple harmonic oscillation using Mathematica 6.0 -- 3.3. Runge-Kutta solution of simple harmonic oscillation using Mathematica 6.04. Damped harmonic oscillator : numerical solution of differential equations using the Euler and second order Runge-Kutta methods using Mathematica -- 4.1. Damped harmonic oscillator : the differential equations of motion -- 4.2. Euler solution of damped harmonic oscillation using Mathematica 6.0 -- 4.3. Runge-Kutta solution of damped harmonic oscillation using Mathematica 6.05. Radioactive decay : numerical solution of differential equations using Euler and second 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. The Runge-Kutta solution of radioactive decay law using Mathematica 6.06. 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.The book contains a detailed account of numerical solutions of differential equations of elementary problems of physics using Euler and second 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 systems of linear equations, in carrying out differentiation and integration, and in dealing with matrices.Physics and Math Undergraduates.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.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 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.Title from PDF title page (viewed on June 12, 2018).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781681749761

Classification

515/.35

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Subject(s)

SCIENCE / Physics / General.
Applied physics.
Mathematical physics
Differential equations.

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Statement of Responsibility

Sujaul Chowdhury and Ponkog Kumar Das.

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