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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
Numerical solution of multi-variable order fractional integro-differential equations using the Bernstein polynomials
Type
JournalPaper
Keywords
Integro-diferential equations, Multi-variable order, The Bernstein polynomials, Operational matrix, Collocation points
Year
2022
Journal ENGINEERING WITH COMPUTERS
DOI
Researchers Nguyen Huy Tuan ، Somayeh Nemati ، Roghayeh Moallem Ganji ، Hossein Jafari

Abstract

Integro-differential equations are developed as models in enormous fields of engineering and science such as biological models, population growth, aerospace systems and industrial mathematics. In this work, we consider a general class of nonlinear fractional integro-differential equations with variable order derivative. We use the operational matrices based on the Bernstein polynomials to obtain numerical solution of this type of equations. By utilizing the operational matrices along with the Newton–Cotes collocation points, the problem under study is reduced to a system of nonlinear algebraic equations. An error estimate of the numerical solution is proved. Finally, some examples are included to show the accuracy and validity of the proposed method.