2024 : 12 : 19

Khosro Sayevand

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Mathematical Sciences and Statistics
Address: Malayer University
Phone: 081-33398981

Research

Title
Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution
Type
JournalPaper
Keywords
Dual Bernstein operators, Fractional convection-diffusion equation, Error analysis, Operational matrix
Year
2021
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Khosro Sayevand

Abstract

The Bernstein operators (BO) are not orthogonal, but they have duals, which are obtained by a linear combination of BO. In recent years dual BO have been adopted in computer graphics, computer aided ge- ometric design, and numerical analysis. This paper presents a numerical method based on the Bernstein operational matrices to solve the time-space fractional convection-diffusion equation. A generalization of the derivative matrix operator of fractional order and the error analysis are discussed. Numerical exam- ples compare the proposed approach with previous works, showing that the method is more accurate and efficient.