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NUMERICAL SOLUTION TO LINEAR SINGULARLY PERTURBED TWO POINT BOUNDARY VALUE PROBLEMS USING B-SPLINE COLLOCATION METHOD
Journal: INTERNATIONAL JOURNAL OF RESEARCH -GRANTHAALAYAH (Vol.4, No. 1)Publication Date: 2016-01-30
Authors : Rajashekhar Reddy .Y;
Page : 158-164
Keywords : Collocation method; B-splines; linear singularly perturbed problem.;
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Abstract
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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