Differential Equations and Boundary Value Problems: Computation and Modeling

Author: Edwards Penney
Publisher:
Publish Date: 2004-12-01
Features: This book is set against the backdrop of some model problems, utilizing mathematical software such as Maple, Mathematica, and MATLAB to systematically introduce the basic concepts and methods of (linear and nonlinear) differential equations through symbolic computation, graphical representation, and numerical solution techniques. Through the discussion of more than 40 practical models, readers gain a comprehensive understanding of the process of modeling, solving, and analyzing the properties reflected by the solutions. Leveraging the capabilities of Maple, Mathematica, and MATLAB in graphical display, symbolic computation, and numerical computation, the qualitative properties of differential equation solutions are analyzed. Over 700 figures vividly and intuitively represent concepts such as direction fields, solution curves, and phase planes. Additionally, the book includes more than 1,900 exercises for readers to use. This book can serve as a reference for students studying mathematical modeling or differential equations, and it also holds significant value for scientists and engineers engaged in computational and modeling work.