Numerical Solutions of Initial Value Problems Using Mathematica

ISBN-13: 9781681749730 / Angielski / Miękka / 2018 / 58 str.

Sujaul Chowdhury; Ponkog Kumar Das

Opis

Contains an 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, motion under Hooke's law force, and motion under a combination of Hooke's law force and a velocity dependent damping force.

Spis treści

• 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