Numerical Study of Differential Equations Via Cubic Hermite Collocation Technique

Abstract

The cubic Hermite collocation method (CHCM) is a numerical technique for solving differential equations using Cubic Hermite interpolation. Cubic Hermite interpolation is a way of constructing a polynomial that matches not only the function values, but also the derivatives at some given points. The accuracy, efficiently, simplicity and reliability of CHCM performs are demonstrated through some numerical examples. The analysis of convergence of the method is briefly discussed and the fourth order is shown. The Numerical results have been presented in tabular and graphical forms.