A study on fractal interpolation in shape preserving and in numerical methods for ordinary differential equations

Abstract

Interpolation is an essential tool to approximate the unknown function from its samples Many situations when data arises from various complex phenomena the data exhibits irregularity Giving smooth approximation for these data may not be suitable Fractal interpolation provides a non smooth approximation for the interpolation data Iterated function system is a basic tool to construct the fractal interpolation function and the graph of the fractal interpolation function is the attractor of th...