Non-polynomial sextic spline approach for the solution of fourth-order boundary value problems |
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Authors: | Arshad Khan Pooja Khandelwal |
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Institution: | Department of Mathematics, Jamia Millia Islamia, New Delhi 25, India |
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Abstract: | In this paper a non-polynomial sextic spline function is applied to the numerical solution of a linear fourth-order two-point boundary-value problem occurring in a plate deflection theory. We have developed a non-polynomial sextic spline, which reduces to ordinary sextic spline as θ → 0. Spline relations and error estimates are given. Direct methods of order two, four and six have been obtained. Numerical results are provided to demonstrate the superiority of our methods. |
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Keywords: | Non-polynomial splines Fourth-order boundary-value problems Plate deflection theory Truncation error |
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