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Numerical solutions of initial value problems using Mathematica / Sujaul Chowdhury and Ponkog Kumar Das.

Κατά: Συντελεστής(ές): Τύπος υλικού: ΚείμενοΚείμενοΣειρά: IOP concise physicsΛεπτομέρειες δημοσίευσης: San Rafael [Καλιφόρνια] : Morgan & Claypool Publishers, c2018.Περιγραφή: 1 ηλεκτρονική πηγή (ποικίλες σελιδαριθμήσεις) : εικ. (μερ. έγχρ.)ISBN:
  • 9781681749761
  • 9781681749747
Θέμα(τα): Ταξινόμηση DDC:
  • 515.35 23
Πηγές στο διαδίκτυο:
Περιεχόμενα:
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 equation
2. 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 6.0
3. 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 6.0
4. 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 6.0
5. 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 6.0
6. 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.
Περίληψη: 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.
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Περιλαμβάνει βιβλιογραφικές παραπομπές.

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 equation

2. 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 6.0

3. 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 6.0

4. 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 6.0

5. 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 6.0

6. 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.

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