Haar wavelet method for solving the system of linear Volterra integral equations with variable coefficients
Authors :
A. Padmanabha Reddy 1 *, S. H. Manjula 2 , C. Sateesha 3
Author Address :
1 Department of Studies in Mathematics, V. S. K. University, Ballari, Karnataka, India.
2 Department of Mathematics, KLE’s J.T.College, Gadag, Karnataka, India.
3 Department of Mathematics, R.T.E.Society’s Rural Engineering College Hulkoti, Gadag, Karnataka, India.
*Corresponding author.
Abstract :
This paper deals solutions for system of linear Volterra integral equations with variable coefficients using the Haar wavelet method. The powerful properties of Haar wavelets are used to reduce the system of Volterra integral equations to a system of algebraic equations. Few problems are considered to examine the efficiency and applicability of the method. A collocation technique is utilized to find the approximate solution. Accuracy of the method is exemplified by the graph and table results.
Keywords :
Haar wavelets; System of algebraic equations; Integral equations; Collocation method.
DOI :
Article Info :
Received : October 11, 2020; Accepted : December 12, 2020.
