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
Convergence Analysis of Spectral Method for Neutral Multipantograph Equations
Type
JournalPaper
Keywords
Neutral multi-pantograph equation, Legendre spectral method, Pantograph operational matrix, Convergence analysis
Year
2018
Journal Iranian Journal of Science and Technology, Transaction A: Science
DOI
Researchers Salameh Sedaghat ، Somayeh Nemati ، Yadollah Ordokhani

Abstract

The main purpose of this work is to provide a spectral method based on the operational matrices of the Legendre polynomials for solving neutral multi-pantograph equations. We analyze the convergence properties of the proposed method. It is shown that for the multi-pantograph equations of neutral type, the spectral method yields the exponential order of convergence. Some examples are given to demonstrate the high precision, fast computation and good performance of the new scheme.