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Iteration scheme for the multiparameter nonlinear boundary value problem with the additional conditions and its application to some field models

Abstract

The iterative scheme based on the combination of Continuous analogue of the Newton`s method and Continuation method was developed for the solving a boundary value problem together with an additional condition. The accuracy was investigated numerically. The suggested method was applied for the numerical investigation of the equations of the solvated electron problem, of some bielectron problem and one QCD problem with an increasing potential. 10 refs.; 6 figs.; 2 tabs.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
JINR-E-11-92-236
Reference Number:
SCA: 661300; PA: AIX-24:043210; SN: 93000991286
Resource Relation:
Other Information: DN: Submitted to the International Workshop `Polarons and Applications`, May 25-31, 1992, Pushchino, Russia.; PBD: 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY-VALUE PROBLEMS; ITERATIVE METHODS; NONLINEAR PROBLEMS; ANALYTICAL SOLUTION; EFFECTIVE MASS; ELECTRONS; NUMERICAL SOLUTION; POLARONS; QUANTUM CHROMODYNAMICS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10153920
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE93626638; TRN: RU9301159043210
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[14] p.
Announcement Date:
Jul 06, 2005

Citation Formats

Amirkhanov, I V, Puzynin, I V, and Strizh, T A. Iteration scheme for the multiparameter nonlinear boundary value problem with the additional conditions and its application to some field models. JINR: N. p., 1992. Web.
Amirkhanov, I V, Puzynin, I V, & Strizh, T A. Iteration scheme for the multiparameter nonlinear boundary value problem with the additional conditions and its application to some field models. JINR.
Amirkhanov, I V, Puzynin, I V, and Strizh, T A. 1992. "Iteration scheme for the multiparameter nonlinear boundary value problem with the additional conditions and its application to some field models." JINR.
@misc{etde_10153920,
title = {Iteration scheme for the multiparameter nonlinear boundary value problem with the additional conditions and its application to some field models}
author = {Amirkhanov, I V, Puzynin, I V, and Strizh, T A}
abstractNote = {The iterative scheme based on the combination of Continuous analogue of the Newton`s method and Continuation method was developed for the solving a boundary value problem together with an additional condition. The accuracy was investigated numerically. The suggested method was applied for the numerical investigation of the equations of the solvated electron problem, of some bielectron problem and one QCD problem with an increasing potential. 10 refs.; 6 figs.; 2 tabs.}
place = {JINR}
year = {1992}
month = {Dec}
}