<p>NINE: computer code for numerical solution of the boundary problems for nonlinear differential equations on the basis of CANM</p>

Batgerel B.; Zemlyanay E.V.; Puzynin I.V.

Issue 2, 2012 Vol. 4

All issues

2024 Vol. 16
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1 (special issue)
2023 Vol. 15
- Issue 6
- Issue 5
- Issue 4 (special issue)
- Issue 3
- Issue 2 (special issue)
- Issue 1
2022 Vol. 14
- Issue 6
- Issue 5
- Issue 4 (special issue)
- Issue 3
- Issue 2 (special issue)
- Issue 1
2021 Vol. 13
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2 (special issue)
- Issue 1
2020 Vol. 12
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2019 Vol. 11
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2018 Vol. 10
- Issue 6
- Issue 5 (special issue)
- Issue 4
- Issue 3 (special issue)
- Issue 2
- Issue 1
2017 Vol. 9
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2016 Vol. 8
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2015 Vol. 7
- Issue 6
- Issue 5
- Issue 4
- Issue 3 (special issue)
- Issue 2
- Issue 1
2014 Vol. 6
- Issue 6 (special issue)
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2013 Vol. 5
- Issue 6 (special issue)
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2012 Vol. 4
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2011 Vol. 3
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2010 Vol. 2
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2009 Vol. 1
- Issue 4
- Issue 3
- Issue 2
- Issue 1

NINE: computer code for numerical solution of the boundary problems for nonlinear differential equations on the basis of CANM

Batgerel B., Zemlyanay E.V., Puzynin I.V.

pdf (170K) / List of references

The computer code NINE (Newtonian Iteration for Nonlinear Equation) for numerical solution of the boundary problems for nonlinear differential equations on the basis of continuous analogue of the Newton method (CANM) is presented. Numerov’s finite-difference appproximation is applied to provide the fourth accuracy order with respect to the discretization stepsize. Algorithms of calculating the Newtonian iterative parameter are discussed. A convergence of iteration process in dependence on choice of the iteration parameter has been studied. Results of numerical investigation of the particle-like solutions of the scalar field equation are given.

Keywords: nonlinear differential equations, continuous analogue of the Newton method, finite-difference approximation

Citation in English: Batgerel B., Zemlyanay E.V., Puzynin I.V. NINE: computer code for numerical solution of the boundary problems for nonlinear differential equations on the basis of CANM // Computer Research and Modeling, 2012, vol. 4, no. 2, pp. 315-324

DOI: 10.20537/2076-7633-2012-4-2-315-324

URL: http://crm-en.ics.org.ru/journal/article/1891/

Computer Research and Modeling - 2012 - Issue 2

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Views (last year): 1. Citations: 1 (RSCI).

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"