The numerical solution of third-order boundary-value problems using quintic splines

2003 ◽  
Vol 137 (2-3) ◽  
pp. 253-260 ◽  
Author(s):  
Arshad Khan ◽  
Tariq Aziz
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Third Order

scholarly journals Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Ghulam Mustafa ◽  
Syeda Tehmina Ejaz
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Approximation Properties ◽  
Third Order ◽  
Continuous Solutions ◽  
Subdivision Schemes ◽  
Numerical Examples

A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed.

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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