Title :
Finite differences and finite elements: getting to know you
Abstract :
Numerical solution of differential equations relies on two main methods: finite differences and finite elements. In this paper, we explore the nuts and bolts of the two methods for a simple two-point boundary value problem.
Keywords :
boundary-value problems; differential equations; finite difference methods; finite element analysis; differential equations; finite differences; finite elements; two-point boundary value problem; Computer languages; Data structures; Difference equations; Documentation; Finite difference methods; Finite element methods; Partial differential equations; Pollution measurement; Sparse matrices; Testing; finite element method; mathematics; partial differential equations;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2005.49