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.