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

Autor:	B. Batgerel, Elena Valerievna Zemlyanay, Igor V. Puzynin
Jazyk:	ruština
Rok vydání:	2012
Předmět:	nonlinear differential equations continuous analogue of the Newton method finite-difference approximation Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	Компьютерные исследования и моделирование, Vol 4, Iss 2, Pp 315-324 (2012)
Druh dokumentu:	article
ISSN:	2076-7633 2077-6853
DOI:	10.20537/2076-7633-2012-4-2-315-324
Popis:	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. Numerovs 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.
Databáze:	Directory of Open Access Journals
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