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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
Study on numerical methods for solving nonlinear functional Volterra-Urysohn integral equations
Type
Thesis
Keywords
Volterra-Urysohn integral equation, Functional equation, Existence and uniqueness of the solution, Convergence analysis
Year
2023
Researchers Zahraa Kareem Hayder(Student)، Allah Bakhsh Yazdani Cherati(Advisor)، Somayeh Nemati(PrimaryAdvisor)

Abstract

The aim of this thesis is to present two numerical approaches for solving functional Volterra-Urysohn integral equations. First, existence and uniqueness of the solution for this class of equations are studied. Then, we review Euler and trapezoidal methods for solving these equations. By these two techniques, the approximate solution of the problem under study is obtained at some considered grid points. Moreover, convergence analysis of the methods is discussed. Finally, some numerical examples are presented to confirm the validity of the numerical schemes given in the thesis.