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Approximate Solution of Integral Equation Using Bernstein Polynomial Multiwavelets

  • S. Suman
  • Koushlendra K. Singh
  • R. K. Pandey
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 259)

Abstract

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.

Keywords

Abel integral equation Volterra integral equation Bernstein polynomials multiwavelets 

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Copyright information

© Springer India 2014

Authors and Affiliations

  • S. Suman
    • 1
  • Koushlendra K. Singh
    • 2
  • R. K. Pandey
    • 2
  1. 1.Indian Institute of TechnologyPatnaIndia
  2. 2.Indian Institute of Information Technology Design and ManufacturingJabalpurIndia

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