2024 : 11 : 23
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
Euler operational matrix method for functional integral equations
Type
Presentation
Keywords
Functional Volterra integral equation, Euler polynomials, Operational matrix, Function approximation, Collocation method.
Year
2024
Researchers Fatemeh Pahlevani ، Sohrab Bazm

Abstract

This study investigates functional Volterra integral equations. Specific conditions are imposed to guarantee the existence and uniqueness of the solution to this equation in the space of square integrable functions. Subsequently, employing the Euler operational matrix and the collocation method, an approximation to the solution is derived. This methodology converts the functional integral equation into a system of nonlinear algebraic equations, which are then solved using conventional numerical methods or iterative methods.