Cover Image

Dzyadyk's Technique for Ordinary Differential Equations Using Hermitian Interpolating Polynomials

For the case of Hermitian interpolation, we consider the approximation-iterative method introduced by Dzyadyk. We construct a practical algorithm.

Saved in:

Bibliographic Details
Date:	2001
Main Authors:	Rizk, M. M., Різк, М. М.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4271
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Dzyadyk's Technique for Ordinary Differential Equations Using Hermitian Interpolating Polynomials
by: Rizk, M.M.
Published: (2001)

Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials
by: Rizk, M. M., et al.
Published: (2001)

On the approximate solution of nonlinear Volterra-Fredholm integral equations on a complex domain by Dzyadyk’s method
by: Rizk, M. M., et al.
Published: (1997)

Chebyshev approximation by the sum of polynomial and logarithmic expression with the Hermitian interpolation
by: P. S. Malachivskyi, et al.
Published: (2018)

Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials
by: Rizk, M.M.
Published: (2001)

On the approximate solution of nonlinear Volterra-Fredholm integral equations on a complex domain by Dzyadyk’s method
by: Rizk, М.М., et al.
Published: (1997)

Application of Dzyadyk&#039;s polynomial kernels in the constructive function theory
by: V. Andrievskii
Published: (2019)

On the multiplication problem of ordinary differential equations
by: Parasyuk, E. M., et al.
Published: (1971)

Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial
by: V. D. Halan, et al.
Published: (2017)

Application of Dzyadyk’s polynomial kernels in the constructive function theory
by: Andrievskii, V. V., et al.
Published: (2019)

Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial
by: Galan, V. D., et al.
Published: (2017)

Attractors of Ordinary Differential Equations
by: Voskresenskii, E. V., et al.
Published: (2000)

Hermitian-type interpolation at point of the system of disjoint lines on a surface
by: I. V. Serhiienko, et al.
Published: (2015)

Geometric Linearization of Ordinary Differential Equations
by: Qadir, A.
Published: (2007)

Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2004)

Ordinary differential equations with power boundary layers
by: A. S. Omuraliev, et al.
Published: (2018)

On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J.
Published: (2002)

On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J., et al.
Published: (2002)

On local operators diagonal with respect to the system of Hermitian polynomials
by: Pilipenko, A. Yu., et al.
Published: (1995)

Asymptotic representations for the solutions of nonautonomous ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2019)

The stability of the differential spectrum for linear ordinary differential equations system
by: Ju. V. Kravchenko, et al.
Published: (2015)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)

Approximation of classes (Ψ, β)-differentiable functions by interpolating trigonometric polynomials
by: A. S. Serdiuk, et al.
Published: (2016)

Estimate of the convergence rate of the interpolation polynomial derivative on the classes of differentiable functions
by: Kushpel , A. K., et al.
Published: (1988)

Vladislav Kirillovich Dzyadyk
by: EditorialBoard, et al.
Published: (1998)

Asymptotic behavior of solutions to nonlinear systems of ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2014)

Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations
by: Terekhin, M. T., et al.
Published: (2001)

Extendability of solutions of ordinary differential equations in stability problems
by: V. E. Puzyrev, et al.
Published: (2014)

Extendability of solutions of ordinary differential equations in stability problems
by: V. N. Nespirnyj
Published: (2014)

Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: A. O. Ignatev
Published: (2015)

Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: Ignat'ev, A. O., et al.
Published: (2015)

On the rate of convergence of the Ritz method for ordinary differential equations
by: Yakymiv, R. Ya., et al.
Published: (2000)

A method for solution of nonlinear ordinary differential equations
by: Perchik, E. L., et al.
Published: (1995)

Boundary-value problems for parametric ordinary differential equations
by: Karandzhulov, L. I., et al.
Published: (1994)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)

Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: T. H. Nguyen
Published: (2021)

Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: Nguyen, T. H., et al.
Published: (2021)

Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric
by: Serdyuk, A. S., et al.
Published: (2001)

Approximation of solutions of stochastic differential equations with fractional Brownian motion by solutions of random ordinary differential equations
by: Ral’chenko, K. V., et al.
Published: (2010)

On a condition of convergence of interpolational polynomials
by: Kiselev, P. Y., et al.
Published: (1966)