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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
A numerical method to solve variable order differential equations using Operational matrix
Type
Presentation
Keywords
Variable order differential equations; Bernstein polynomials; Operational matrix.
Year
2018
Researchers Hossein Jafari ، haleh tajadodi ، ِDumitru Baleanu

Abstract

A numerical technique for solving a class of nonlinear variable order differential equations (VODEs) is introduced by using Bernstein Polynomials (BPs). Here we apply the operational matrix of Bps. With this matrix, the main equation is transformed into a system of algebraic equations by expanding the solution as Bernstein polynomials with unknown coefficients. Then, by solving algebraic equations, the numerical solutions are obtained. The results of numerical examples indicate that the proposed method is computationally efficient.