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Somayeh Nemati

Somayeh Nemati

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

Research

Title
Application of the hybrid functions to solve neutral delay functional differential equations
Type
JournalPaper
Keywords
neutral delay differential equation, function approximation, hybrid, Legend repolynomials, block–pulse functions
Year
2017
Journal INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
DOI
Researchers Salameh Sedaghat ، Somayeh Nemati ، Yadollah Ordokhani

Abstract

This paper presents a computational technique for the solution of the neutral delay differential equations with state-dependent and time-dependant delays. The properties of the hybrid functions which consist of block-pulse functions plus Legendre polynomials are presented. The approach uses these properties together with the collocation points to reduce the main problems to systems of nonlinear algebraic equations. An estimation of the error is given in the sense of Sobolev norms. The efficiency and accuracy of the proposed method are illustrated by several numerical examples.