Approximate Solution of Integral Equation Using Bernstein Polynomial Multiwavelets

The aim of present article is to find the approximate solution of integral equation using Bernstein multiwavelets approximation. Bernstein polynomial multiwavelets are constructed using orthonormal Bernstein polynomials. These Bernstein polynomial multiwavelets approximate the solution of integral equation. Using orthogonality property of Bernstein polynomial muliwavelets operational matrix of integration is obtained which reduces the integral equation in the system of algebraic equation and can be solved easily. The examples of different profiles are illustrated.

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