Differential Equation Solutions with MATLAB®

Description

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 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