<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

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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

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