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K. Maleknejad, M. Yousefi, Numerical solution of the integral equation ofthe second kind by using wavelet bases of hermite cubic splines, App. Math.Comp. 183 (2006). 134-141.

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Article

Numerical Solution of Fredholm Integral Equations Using Hosoya Polynomial of Path Graphs

1Department of Mathematics, Karnatak University, Dharwad, India

2P.A. College of Engineering, Mangalore, India


American Journal of Numerical Analysis. 2017, Vol. 5 No. 1, 11-15
DOI: 10.12691/ajna-5-1-2
Copyright © 2018 Science and Education Publishing

Cite this paper:
H. S. Ramane, S.C. Shiralashetti, R. A. Mundewadi, R. B. Jummannaver. Numerical Solution of Fredholm Integral Equations Using Hosoya Polynomial of Path Graphs. American Journal of Numerical Analysis. 2017; 5(1):11-15. doi: 10.12691/ajna-5-1-2.

Correspondence to: R.  A. Mundewadi, P.A. College of Engineering, Mangalore, India. Email: rkmundewadi@gmail.com

Abstract

The main purpose of this paper is to develop the graph theoretic polynomial to solve numerical problems. We present a new method for the solution of Fredholm integral equations using Hosoya polynomials obtained from one of the standard class of graphs called as path. Proposed algorithm expands the desired solution in terms of a set of continuous polynomials over a closed interval [0,1]. However, accuracy and efficiency are dependent on the size of the set of Hosoya polynomials and compared with the existing method.

Keywords