Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods

This book focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM). It describes the approximate solution of ordinary and partial differential equations using the finite difference method, covers the method of weighted residuals, including specific weighting and trial functions, considers variational methods, highlights all aspects associated with the formulation of finite element equations, and outlines meshing of the solution domain, nodal specifications, solution of global equations, solution refinement, and assessment of results.