The subject of partial differential equations has an unchanging
core of material but is constantly expanding and evolving.
Introduction to Partial Differential Equations with MATLAB is a
careful integration of traditional core topics with modern topics,
taking full advantage of the computational power of MATLAB to
enhance the learning experience.
This advanced text/reference is an introduction to partial
differential equations covering the traditional topics within a
modern context. To provide an up-to-date treatment, techniques of
numerical computation have been included with carefully selected
nonlinear topics, including nonlinear first order equations. Each
equation studied is placed in the appropriate physical context. The
analytical aspects of solutions are discussed in an integrated
fashion with extensive examples and exercises, both analytical and
computational. The book is excellent for classroom use and can be
used for self-study purposes.
Topic and Features:
a [ Nonlinear equations including nonlinear conservation
laws;
a [ Dispersive wave equations and the Schrodinger equation;
a [ Numerical methods for each core equation including finite
difference methods, finite element methods, and the fast Fourier
transform;
a [ Extensive use of MATLAB programs in exercise sets. MATLAB m
files for numerical and graphics programs available by ftp from
this web site.
This text/reference is an excellent resources designed to
introduce advanced students in mathematics, engineering and
sciences to partial differential equations. It is also suitable as
a self-study resource for professionals and practitioners.
General
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