Differential Equation Solutions with MATLAB®

✍ Scribed by Dingyü Xue; Tsinghua University Press

• Publisher: De Gruyter
• Year: 2020
• Tongue: English
• Leaves: 452
• Category: Library

✦ Synopsis

This book focuses the solutions of differential equations with MATLAB. Analytical solutions of differential equations are explored first, followed by the numerical solutions of different types of ordinary differential equations (ODEs), as well as the universal block diagram based schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.

• Analytical solutions of ODEs are studied in MATLAB
• Numerical solutions and transformations of ODEs of different types are discussed
• Block diagram modeling schemes are presented

✦ Table of Contents

Preface
Contents
1 An introduction to differential equations
2 Analytical solutions of ordinary differential equations
3 Initial value problems
4 Standard form conversions of ordinary differential equations
5 Special differential equations
6 Delay differential equations
7 Properties and behaviors of ordinary differential equations
8 Fractional-order differential equations
9 Block diagram solutions of ordinary differential equations
10 Boundary value problems for ordinary differential equations
11 Partial differential equations
Bibliography
MATLAB function index
Index