குளோபல் ஜர்னல் ஆஃப் டெக்னாலஜி அண்ட் ஆப்டிமைசேஷன்

Solution of Voltra-Fredholm Integro-Differential Equations using Chebyshev Collocation Method

Abstract

Deepmala, Vishnu Narayan Mishra, HR Marasi, H Shabanian, M Nosraty

In this paper, we use chebyshev polynomial basis functions to solve the Fredholm and Volterra integro-differential equations. We directly calculate integrals and other terms are calculated by approximating the functions with the Chebyshev polynomials. This method affects the computational aspect of the numerical calculations. Application of the method on some examples show its accuracy and efficiency.