Non-polynomial sextic spline approach for the solution of fourth-order boundary value problems

作者：Khan Arshad^*; Khandelwal Pooja

来源：Applied Mathematics and Computation, 2011, 218(7): 3320-3329.

DOI：10.1016/j.amc.2011.08.073

• Non-polynomial splines
• Fourth-order boundary-value problems
• Plate deflection theory
• Truncation error

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 theta -> 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.

• 出版日期2011-12-1