General framework, stability and error analysis for numerical stiff boundary value methods

1989 ◽  
Vol 54 (3) ◽  
pp. 355-372 ◽  
Author(s):  
U. M. Ascher ◽  
R. M. M. Mattheij
Keyword(s):  
Error Analysis ◽  
General Framework ◽  
Boundary Value ◽  
Boundary Value Methods ◽  
Stability And Error Analysis

scholarly journals A New Numerical Algorithm for Two-Point Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Lihua Guo ◽  
Boying Wu ◽  
Dazhi Zhang
Keyword(s):  
Exact Solution ◽  
Error Analysis ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Numerical Algorithm ◽  
Numerical Stability ◽  
Boundary Value ◽  
Numerical Results ◽  
Point Boundary ◽  
Stability And Error Analysis

We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that then-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.

Boundary value methods based on Adams-type methods

1995 ◽  
Vol 18 (1-3) ◽  
pp. 23-35 ◽  
Author(s):  
P. Amodio ◽  
F. Mazzia
Keyword(s):  
Boundary Value ◽  
Boundary Value Methods
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