RUFFA-TONI’S DEFINITE INTEGRAL FORMULA TO COMPUTE THE DOUBLE NON-HOMOGENEOUS FREDHOLM INTEGRAL EQUATIONS HAVING SEPARABLE KERNELS
By
Hemant Kumar1, R. C. Singh Chandel2 , Harish Srivastava3 and S. S. Chauhan4
1Department of Mathematics, D. A-V. Postgraduate College, Kanpur, Uttar Pradesh, India-208001
2Former Head of Department of Mathematics, D. V. Postgraduate College, Orai, Uttar Pradesh, India-285001
3,4Department of Mathematics, D. V. Postgraduate College, Orai, Uttar Pradesh, India-285001
Email: palhemant2007@rediffmail.com; hemantkumar kn03@csjmu.ac.in, rc chandel@yahoo.com, harishsrivastava@rediffmail.com; dr.surendrasingh2010@gmail.com
(Received: March 13, 2025; Accepted: March 21, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55108
Abstract
In this article, we apply Ruffa-Toni’s definite integral formula to evaluate the approximate solutions of single and double Fredholm integral equations consisting of separable kernels. We introduce the graphical representations of our results through their MATLAB algorithms to make them applicable in computation of the scientific problems
2020 Mathematical Sciences Classification: 65D30, 46G05, 45B05, 45C05, 45F10, 05C85.
Keywords and Phrases: Numerical integration, Ruffa-Toni’s definite integral, single and double Fredholm integral equations, MATLAB algorithms.