Partial Differential Equations with MATLAB

By B Noriega

Partial Differentia Equation Toolbox provides functions for solving structural mechanics, heat transfer, and general partial differentia equations (PDEs) using finite element analysis. You can perform linear static analysis to compute deformation, stress, and strain. For modeling structural dynamics and vibration, the toolbox provides a direct time integration solver. You can analyze a component's structural characteristics by performing modal analysis to fin natural frequencies and mode shapes. You can model conduction-dominant heat transfer problems to calculate temperature distributions, heat fluxes and heat flow rates through surfaces. You can also solve standard problems such as diffusion electrostatics, and magnetostatics, as well as custom PDEs.Partial Differentia Equation Toolbox lets you import 2D and 3D geometries from STL or mesh data. You can automatically generate meshes with triangular and tetrahedral elements. You can solve PDEs by using the finite element method, and post process results to explore and analyze them.The most important features developed in this book are the following: -Structural analysis, including linear static, dynamic, and modal analysis-Heat transfer analysis for conduction-dominant problems-General linear and nonlinear PDEs for stationary, time-dependent, and eigenvalue problems-2D and 3D geometry import from STL file and mesh data-Automatic meshing using triangular and tetrahedral elements with linear or quadratic basis functions-User-define functions for specifying PDE coefficients boundary conditions, and initial conditions--Plotting and animating results, as well as derived and interpolated valuesAmon others applications PDEs are used for: -Steady and unsteady heat transfer in solids-Flows in porous media and diffusion problems-Electrostatics of dielectric and conductive media-Potential flow-Steady state of wave equations-Transient and harmonic wave propagation in acoustics and electromagnetics-Transverse motions of membranes

• Format: Paperback
• Language: English
• ISBN: 1700439685
• ISBN13: 9781700439680
• Release Date: January 1
• Publisher: Independently Published
• Length: 324 Pages
• Weight: 1.05 lbs.
• Dimensions: 0.7" x 6.0" x 9.0"