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Sohrab Bazm

Sohrab Bazm

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
Numerical solution of nonlinear integral equations using alternative Legendre polynomials
Type
JournalPaper
Keywords
Volterra–Fredholm–Hammerstein integral equations, Alternative Legendre polynomials, Collocation method, Operational matrices
Year
2016
Journal Journal of Applied Mathematics and Computing
DOI
Researchers Sohrab Bazm ، Alireza Hosseini

Abstract

In this paper, the operational matrices of integration and the product for the alternative Legendre polynomials (ALPs) are first derived. Then, using these operational matrices and the collocation method, the nonlinear Volterra–Fredholm–Hammerstein integral equations are reduced to a set of nonlinear algebraic equations with unknown ALP coefficients. Some error estimations are provided and the efficiency and accuracy is verified by applying the method to some examples chosen from other literature