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Finite Element Method for ODEs by Karwan Jwamer is a document available to read on EtoBox.

This chapter discusses the finite element method for solving ordinary differential equations, focusing on one-dimensional problems for clarity. It presents a two-point boundary value problem and establishes a weak formulation, proving the existence and uniqueness of solutions using the Lax-Milgram theorem. The chapter also details the approximation of solutions using piecewise linear polynomials and provides error estimates for the finite element approximations.

Author
Karwan Jwamer
Language
EN