Numerical solutions of initial value problems using Mathematica

• Tác giả: Sujaul Chowdhury, Ponkog Kumar Das
• Ngôn ngữ: eng
• ISBN-13: 978-1681749730
• ISBN-13: 978-1681749747
• ISBN-13: 978-1681749761
• Ký hiệu phân loại: 515.35 Differential equations
• Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2018
• Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 161312
• Chủ đề: 1. Differential equations; 2. Mathematical physics--Data processing; 3. Applied physics; 4. SCIENCE / Physics / General

Includes bibliographical references.

Tóm tắt

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.