Trigonometric quintic B-spline collocation method for singularly perturbed turning point boundary value problems

2020 ◽  
pp. 1-20
Author(s):  
Mohammad Prawesh Alam ◽  
Devendra Kumar ◽  
Arshad Khan
Keyword(s):  
Boundary Value Problems ◽  
Collocation Method ◽  
Turning Point ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Point Boundary ◽  
Spline Collocation ◽  
B Spline ◽  
Spline Collocation Method

scholarly journals NUMERICAL SOLUTION TO LINEAR SINGULARLY PERTURBED TWO POINT BOUNDARY VALUE PROBLEMS USING B-SPLINE COLLOCATION METHOD

2016 ◽  
Vol 4 (1) ◽  
pp. 158-164
Author(s):  
Rajashekhar Reddy
Keyword(s):  
Analytical Solution ◽  
Collocation Method ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Point Boundary ◽  
Spline Collocation ◽  
B Spline ◽  
Numerical Examples ◽  
Spline Collocation Method ◽  
Spline Basis

A Recursive form cubic B-spline basis function is used as basis in B-spline collocation method to solve second linear singularly perturbed two point boundary value problem. The performance of the method is tested by considering the numerical examples with different boundary conditions. Results of numerical examples show the robustness of the method when compared with the analytical solution.

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