Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

Abstract

Abstract In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accuracy of our method and to compare with other methods in the literature.

Keywords

• Cubic non-polynomial spline
• Second-order
• Boundary value problem
• Numerical solution