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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
SOLUTION OF NONLINEAR VOLTERRA-HAMMERSTEIN INTEGRAL EQUATIONS USING ALTERNATIVE LEGENDRE COLLOCATION METHOD
Type
JournalPaper
Keywords
Nonlinear Volterra-Hammerstein integral equations, Al- ternative Legendre polynomials, Operational matrix, Collocation method.
Year
2016
Journal Sahand Communications in Mathematical Analysis
DOI
Researchers Sohrab Bazm

Abstract

Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of in- tegration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the eciency and accuracy are illustrated by applying the method to some examples.