Solution of Voltra-Fredholm Integro-Differential Equations using Chebyshev Collocation Method | OMICS International | Abstract
ISSN: 2229-8711

# Global Journal of Technology and OptimizationOpen Access

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

Deepmala1, Vishnu Narayan Mishra2*, HR Marasi3, H Shabanian4 and M Nosrati Sahlan4

1Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur-482005, India

2Applied Mathematics and Humanities Department, S.V. National Institute of Technology, Surat-395007, Gujarat, India

3Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

4Department of Mathematics, Faculty of Sciences, University of Bonab, Bonab, Iran

*Corresponding Author:
Vishnu Narayan Mishra
Applied Mathematics and Humanities Department
S.V. National Institute of Technology
Surat-395007, Gujarat, India
Tel: +91 99133 87604
E-mail: [email protected]

Received date: February 23, 2017; Accepted date: April 20, 2017; Published date: April 26, 2017

Citation: Deepmala, Mishra VN, Marasi H, Shabanian H, Nosrati Sahlan M (2017) Solution of Voltra-Fredholm Integro-Differential Equations using Chebyshev Collocation Method. Global J Technol Optim 8:210. doi: 10.4172/2229-8711.1000210

Copyright: © 2017 Deepmala, et al. This is an open-access article distributedunder the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

### Abstract

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.