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Start Over Author "M. Król" Publisher elsevier bv
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4. Difference schemes for systems of second order nonlinear ODEs on a semi-infinite interval

Author

Myroslav V. Kutniv, M. Król, and O.I. Pazdriy

Subjects
Numerical Analysis, Semi-infinite, Applied Mathematics, 010102 general mathematics, Mathematical analysis, 010103 numerical & computational mathematics, Interval (mathematics), 01 natural sciences, Nonlinear differential equations, Computational Mathematics, Operator (computer programming), Order (group theory), Uniqueness, Boundary value problem, 0101 mathematics, Mathematics, Nonlinear ode
Abstract

The three-point difference schemes of high order accuracy for the numerical solving boundary value problems on a semi-infinite interval for systems of second order nonlinear ordinary differential equations with a not self-conjugate operator are constructed and justified. We proved the existence and uniqueness of solutions of the three-point difference schemes and obtained the estimate of their accuracy. The results of numerical experiments which confirm the theoretical results are given.

Published
2017

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