Numerical solution of system of boundary value problems using B-spline with free parameter

2017 ◽  
Author(s):  
Yogesh Gupta
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Free Parameter ◽  
Boundary Value ◽  
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.

scholarly journals The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
M. Zarebnia ◽  
M. Birjandi
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Collocation Method ◽  
Boundary Value ◽  
Subsequent Development ◽  
Algebraic Equations ◽  
Spline Collocation ◽  
Calculus Of Variation ◽  
B Spline ◽  
Spline Collocation Method

A B-spline collocation method is developed for solving boundary value problems which arise from the problems of calculus of variations. Some properties of the B-spline procedure required for subsequent development are given, and they are utilized to reduce the solution computation of boundary value problems to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

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