2024 : 4 : 23
Somayeh Nemati

Somayeh Nemati

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

Research

Title
An effective numerical method for solving fractional pantograph differential equations using modification of hat functions
Type
JournalPaper
Keywords
Fractional pantograph differential equations Modification of hat functions Operational matrix Caputo derivative Riemann–Liouville integral
Year
2018
Journal APPLIED NUMERICAL MATHEMATICS
DOI
Researchers Somayeh Nemati ، Pedro Lima ، Salameh Sedaghat

Abstract

In this work, a spectral method based on a modification of hat functions (MHFs) is proposed to solve the fractional pantograph differential equations. Some basic properties of fractional calculus and the operational matrices of MHFs are utilized to reduce the considered problem to a system of linear algebraic equations. The greatest advantage of using MHFs is the large number of zeros in their operational matrix of fractional integration, product operational matrix and also pantograph operational matrix. This property makes these functions computationally attractive. Some illustrative examples are included to show the high performance and applicability of the proposed method and a comparison is made with the existing results. These examples confirm that the method leads to the results of convergence order O(h3).