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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 Generalized Abel's integral equations using Bernoulli collocation method
Type
Presentation
Keywords
Generalized Abel's integral equations, Collocation method, Bernoulli polynomials
Year
2016
Researchers Sohrab Bazm

Abstract

In this paper, an approximate method for solving the Generalized Abel's integral equations is proposed. The method is based on expanding the unknown function in terms of Bernoulli polynomials. Then, the collocation method is applied to reduce the solution of the Generalized Abel's integral equation to the one of solving a system of algebraic equations. Results of numerical examples are presented, which illustrate that the proposed method achieve good accuracy even using a small number of Bernoulli polynomials.