On systems of nonlinear equations: Some modified iteration formulas By the homotopy perturbation Method with accelerated fourth-and fifth-order convergence

Research

Title	On systems of nonlinear equations: Some modified iteration formulas By the homotopy perturbation Method with accelerated fourth-and fifth-order convergence
Type	JournalPaper
Keywords	SystemsofnonlinearequationsConvergenceorderEfficiencyindexIterativemethodsHomotopyperturbationmethod
Year	2015
Journal	APPLIED MATHEMATICAL MODELLING
DOI
Researchers	Khosro Sayevand ، Hossein Jafari

Abstract

Thispaperisconcernedwiththedevelopmentofefficientalgorithmsforsolvingthesystemofnonlinearequationsbasedonthemodifiedhomtopyperturbationmethod.Theanalysisofconvergenceshowsthattheproposedmethodsarefourthandfifth-order convergence Sev-eralnumericalexamplesarepresented.Comparisonsaremadetoconfirmthereliabilityandeffectivenessoftheproposedschemes.

Khosro Sayevand

Research

Abstract