Module 10: Finite Difference Methods for Boundary Value Problems
Lecture 40: Nonlinear second order equations
Error estimates:
Theorem: Let have cont. derivatives which satisfy . Then the numerical solution of the difference equation (10.14) and the solution of the BVP satisfy, with
have cont. derivatives which satisfy 
. Then the numerical solution 
of the difference equation (10.14) and the solution 
of the BVP satisfy, with 
, then 
