Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type

This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares. The Legendre Ritz-Least squarestechnique (LRLS) is used to decrease...

Full description

Saved in:
Bibliographic Details
Published inMathematics and computational sciences Vol. 5; no. 1; pp. 20 - 29
Main Authors Meisam Noei Khorshidi, Mohammad Arab Firoozjaee
Format Journal Article
LanguageEnglish
Published Qom University of Technology 01.03.2024
Subjects
least squares method
legendre polynomials
pantograph equations
Online AccessGet full text

Cover

More Information
Summary:This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares. The Legendre Ritz-Least squarestechnique (LRLS) is used to decrease the problem to a set of the algebraic equation system.The efficiency and reliability of the proposed method are shown by some numerical results. Allof the numerical implementations have been performed on a PC using some programs written inMATHEMATICA.
ISSN:2717-2708
DOI:10.30511/mcs.2024.2007870.1133