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Research Article

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

S
S. C. Shiralashetti Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA
L
Lata Lamani Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA
Volume 16, Issue 3 Pages 251-268 December 30, 2020 286 downloads
Article overview

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 polynomialsBerstein polynomial multiwaveletsLinear Fredholm integral equationsNonlinear Fredholm integral equationsSystem of Fredholm integral equations.

AMS Subject Classification

45B05, 45F99, 65T60.

Reference information

How to Cite

S. C. Shiralashetti, Lata Lamani (2020). A MODERN APPROACH BASED ON BERNSTEIN POLYNOMIAL MULTIWAVELETS TO SOLVE FREDHOLM INTEGRAL AND SYSTEM OF FREDHOLM INTEGRAL EQUATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 251-268.
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