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Non-polynomial sextic spline approach for the solution of fourth-order boundary value problems. (English) Zbl 1244.65112

Summary: 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 \(\theta \to 0\). 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.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
65L70 Error bounds for numerical methods for ordinary differential equations
74K20 Plates
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References:

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