A MODERN APPROACH BASED ON BERNSTEIN POLYNOMIAL MULTIWAVELETS TO SOLVE FREDHOLM INTEGRAL AND SYSTEM OF FREDHOLM INTEGRAL EQUATIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 224

Volume : 16 , Issue : 3
DOI:
Author :
S. C. Shiralashetti (Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA)
Lata Lamani (Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA)

Abstract

The objective of this paper is to obtain the approximate solution of integral and system of integral equations using Bernstein Polynomial Multiwavelets (BPMW). BPMW are used to obtain the approximate solution of Fredholm integral and system of Fredholm integral equations. These BPMW reduces the given equations into a system of linear (or nonlinear) algebraic equations, which are solved by appropriate methods. Error estimate of the proposed method is given. To illustrate our numerical findings a number of computational experiments are carried out.

Keywords and Phrases

Berstein polynomials, Berstein polynomial multiwavelets, Linear Fredholm integral equations, Nonlinear Fredholm integral equations, System of Fredholm integral equations.

A.M.S. subject classification

45B05, 45F99, 65T60.

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