Green's Functions and Linear Differential Equations

This book provides complete coverage of Green's functions, which have become an important topic of interest in recent years. Along with Mathematica ® and MATLAB ® code, it supplies the necessary background material and presents a large number of examples and exercises from different areas of mathematics, applied science, and engineering. The book includes boundary value problems involving ordinary differential equations, partial differential equations, and stochastic differential equations. The author describes various methods for solving these problems, including classical methods, Bernoulli's separation method, integral transform, conformal mapping, and wavelet transform.