6A Numerical Solution of Fractal-Fractional ODE with Linear Interpolation

DOI: 10.1201/9781003359258-6

6.1 INTRODUCTION

In mathematics, linear interpolation is a technique for curve fitting that creates new data points within the bounds of a discrete collection of known data points using linear polynomials. Since ancient times, tables have been filled in with gaps using linear interpolation. Consider the situation if one wants to estimate the population in 1994 and had a table of a country's population over the previous 30 years. A simple method for doing this is linear interpolation. It is thought that the Seleucid Empire and the Greek mathematician and astronomer Hipparchus both employed it. In computer graphics, the fundamental technique ...

Get Numerical Methods for Fractal-Fractional Differential Equations and Engineering now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.