End conditions for interpolatory septic splines

Abstract

In this paper, septic spline is defined for interpolation at equally spaced knots along with the end conditions required to complete the definition of spline. These conditions are in terms of given functional values at the knots and lead to uniform convergence of O(h ⁸), throughout the interval of interpolation. The main objective of defining the end conditions for septic spline is to use the septic spline for the solutions of sixth-order boundary value problems, being discussed in the subsequent paper.

Dedicated to the memory of Dr. M. Rafique

Keywords:

• Septic spline
• Interpolation
• End conditions

Notes

Dedicated to the memory of Dr. M. Rafique

Additional information

Notes on contributors

Shahid S. Siddiqi

Email: [email protected]