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

Authors

  • Rajashekhar Reddy .Y Assistant Professor, Department of Mathematics, JNT University College of Engineering Jagitial, Nachupally (kondagattu), Karimnagar-505501,Telangana State, INDIA

DOI:

https://doi.org/10.29121/granthaalayah.v4.i1.2016.2858

Keywords:

Collocation Method, B-Splines, Linear Singularly Perturbed Problem

Abstract [English]

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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References

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Published

2016-01-31

How to Cite

Reddy, R. (2016). NUMERICAL SOLUTION TO LINEAR SINGULARLY PERTURBED TWO POINT BOUNDARY VALUE PROBLEMS USING B-SPLINE COLLOCATION METHOD. International Journal of Research -GRANTHAALAYAH, 4(1), 158–164. https://doi.org/10.29121/granthaalayah.v4.i1.2016.2858