A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines

2001 ◽  
Vol 88 (1) ◽  
pp. 135-158 ◽  
Author(s):  
Miljenko Marušić
Keyword(s):  
Boundary Value Problems ◽  
Collocation Method ◽  
Boundary Value ◽  
Second Order ◽  
Singularly Perturbed ◽  
Point Boundary

A Collocation Method for Global Approximation of General Second Order BVPs

2007 ◽  
Vol 3 (1) ◽  
pp. 23-34 ◽  
Author(s):  
F. Costabile ◽  
A. Napoli
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Collocation Method ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Global Approximation ◽  
Numerical Examples

For the numerical solution of the second order nonlinear two-point boundary value problems a family of polynomial global methods is derived.Numerical examples provide favorable comparisons with other existing methods.

Sign in / Sign up

Export Citation Format

Share Document