PARTIAL DIFFERENTIAL EQUATIONS with MATLAB

The purpose of this book is solve partial differential equations using finite element methods throug the Partial Differential Equation Matlab Toolbox. This product contains tools for the study and solution of partial differential equations (PDEs) in two-space dimensions (2-D) and time. A set of command-line functions and a graphical user interface let you preprocess, solve, and postprocess generic 2-D PDEs for a broad range of engineering and science applications. Partial Differential Equation Toolbox software is designed for both beginners and advanced users. The minimal requirement is that you can formulate a PDE problem on paper (draw the domain, write the boundary conditions, and the PDE). At the MATLAB command line, type pdetool This invokes the graphical user interface (GUI), which is a self-contained graphical environment for PDE solving. For common applications you can use the specific physical terms rather than abstract coefficients. Using pdetool requires no knowledge of the mathematics behind the PDE, the numerical schemes, or MATLAB. Advanced applications are also possible by downloading the domain geometry, boundary conditions, and mesh description to the MATLAB workspace. You can use functions to, for example, generate meshes, discretize your problem, interpolate, and plot data on unstructured grids.