A Projection Method for Solving Nonlinear Volterra-Fredholm Integral Equations using Legendre Hybrid Functions

Authors

  • Masood Roodaki
  • Zahra JafariBehbahani JafariBehbahani

DOI:

https://doi.org/10.30495/jme.v7i0.217

Keywords:

Hybrid functions, nonlinear Volterra-Fredholm integral equations of the second kind, legendre polynomials, blockpulse functions, function expansion, cross product, coefficients matrix, projection method.

Abstract

Since various problems in science and engineering fieldscan be modeled by nonlinear Volterra-Fredholm integral equations, themain focus of this study is to present an effective numerical method forsolving them. This method is based on the hybrid functions of Legendrepolynomials and block-pulse functions. By using this approach, anonlinear Volterra-Fredholm integral equation reduces to a nonlinearsystem of mere algebraic equations. The convergence analysis and associatedtheorems are also considered. Test problems are provided toillustrate its accuracy and computational efficiency.

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Published

2014-02-09

Issue

Vol. 7

Section

Vol. 7, No. 3, (2013)

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