scholarly journals Extended cubic B-spline method for solving a system of non-linear second-order boundary value problems

2020 ◽  
Vol 21 (03) ◽  
pp. 231-242
Author(s):  
Ahmed Salem Heilat ◽  
Reyadh Salem Hailat
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Spline Method ◽  
B Spline ◽  
Non Linear

scholarly journals Extended cubic B-spline method for solving a linear system of second-order boundary value problems

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Ahmed Salem Heilat ◽  
Nur Nadiah Abd Hamid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Linear System ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Spline Method ◽  
B Spline

scholarly journals Solution of Boundary Value Problems by Approaching Spline Techniques

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
P. Kalyani ◽  
P. S. Rama Chandra Rao
Keyword(s):  
Boundary Value Problems ◽  
Spline Function ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Spline Method ◽  
B Spline ◽  
Numerical Examples ◽  
Specific Choice ◽  
Nodal Points

In the present work a nonpolynomial spline function is used to approximate the solution of the second order two point boundary value problems. The classes of numerical methods of second order, for a specific choice of parameters involved in nonpolynomial spline, have been developed. Numerical examples are presented to illustrate the applications of this method. The solutions of these examples are found at the nodal points with various step sizes and with various parameters (α, β). The absolute errors in each example are estimated, and the comparison of approximate values, exact values, and absolute errors of at the nodal points are shown graphically. Further, shown that nonpolynomial spline produces accurate results in comparison with the results obtained by the B-spline method and finite difference method.

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