Numerical Solutions of Initial Value Problems Using Mathematica (Iop Concise Physics)

Chowdhury, Sujaul/ Das, Ponkog Kumar

Morgan & Claypool Publishers（2018/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 58 p.
• 言語 ENG
• 商品コード 9781681749778
• DDC分類 515.35

Full 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.

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