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Numerical Solutions of Initial Value Problems Using Mathematica

 Ebook
Sofort lieferbar | Lieferzeit:3-5 Tage I
ISBN-13:
9781681749754
Einband:
Ebook
Seiten:
58
Autor:
Sujaul Chowdhury
Serie:
IOP Concise Physics
eBook Typ:
Adobe Digital Editions
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:

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
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.