A comparative study of numerical solution of pantograph equations using various wavelets techniques

Abstract

The objective of the present article is to discuss a numerical method based on wavelets for finding the solution of pantograph differential equations with proportional delays. First, the pantograph differential equation is converted into system of linear algebraic equations and then unknown coefficients are induced by solving the linear system. The convergence of the approximate solution is also derived along with its error estimate. Some numerical examples are considered to demonstrate the superiority of Bernoulli wavelet over Haar, Chebyshev and Legendre wavelets etc.