The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions

1999 ◽  
Vol 71 (3) ◽  
pp. 373-381 ◽  
Author(s):  
H. N. Caglar ◽  
S. H. Caglar ◽  
E. H. Twizell
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Spline Functions ◽  
Third Order ◽  
Fourth Degree ◽  
B Spline

scholarly journals A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Syeda Tehmina Ejaz ◽  
Ghulam Mustafa
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Subdivision Scheme ◽  
Third Order ◽  
Fourth Degree ◽  
B Spline

We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.

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