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Cubic spline for a class of singular two-point boundary value problems |
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| Authors: | ASV Ravi Kanth YN Reddy |
| Institution: | aDepartment of Mathematics, Eritrean Institute of Technology, P.O. Box-1056, Asmara, Eritrea, North East Africa bDepartment of Mathematics, National Institute of Technology, Warangal 506 004, India |
| Abstract: | In this paper we have presented a method based on cubic splines for solving a class of singular two-point boundary value problems. The original differential equation is modified at the singular point then the boundary value problem is treated by using cubic spline approximation. The tridiagonal system resulting from the spline approximation is efficiently solved by Thomas algorithm. Some model problems are solved, and the numerical results are compared with exact solution. |
| Keywords: | Ordinary differential equations Singular point Two-point boundary value problem Cubic spline |
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