Written for undergraduate students, this introductory text integrates classical and modern approaches to partial differential equations. The book begins with coverage of the necessary background material from linear algebra and ordinary differential equations. Then, various applications are discussed and solved using both Fourier series and finite element methods. The revised second edition includes broader coverage of PDE methods and applications, with new chapters on the method of characteristics, Sturm-Liouville problems, and Green’s functions and a new section on the finite difference method for the wave equation.
A supplemental set of MATLAB code files is available for download.