2024 : 6 : 13
Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418


Computational technique for a class of nonlinear distributed-order fractional boundary value problems with singular coefficients
Numerical approach, Fractional Calculus, Distributed order, Singular coefficients, Nonlinear partial differential equations, Shifted Legendre polynomials
Journal Computational and Applied Mathematics
Researchers Mojtaba Arianfar ، Behrouz Parsa Moghaddam ، Afshin Babaei


This paper addresses a computational technique for the numerical solutions of nonlinear distributed-order fractional boundary value equations with singular coefficients. The proposed strategy is based on the shifted Legendre-series expansion and the composite midpoint quadrature rule. Moreover, a collocation technique is utilized to reduce the understudy equations to a system of nonlinear algebraic equations solved by Newton’s iteration formula. The l2 and l∞-norm errors and experimental convergence order are selected as criteria to analyze the accuracy and precision of the proposed strategy. The results of the performed numerical simulations illustrate the reliability and validity of the proposed approach.