Description
Applied Partial Differential Equations with Fourier Series and Boundary Value Problems provides a comprehensive introduction to analytical and numerical methods for solving partial differential equations. The book covers heat and wave equations, Laplace's equation, Fourier series, separation of variables, Sturm–Liouville eigenvalue problems, finite-difference methods, Green's functions, Fourier and Laplace transforms, and methods for solving problems in higher dimensions. It emphasizes the physical interpretation of mathematical solutions and connects PDE techniques with applications in science, engineering, and applied mathematics. Through worked examples, mathematical derivations, and exercises, the book develops students' ability to formulate and solve partial differential equations and understand their role in modeling physical phenomena.
