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Solution of Bernstein's Approximation Problem [PDF]

Proceedings of the American Mathematical Society, 1953
In his famous monograph on approximation theory [2], S. Bernstein initiated the study of the closure properties of sets of functions {unK(u) }I on the real line. It is supposed that K(u) is continuous on (, o ) and that unK(u) vanishes at u = ? o for each value of n.
openaire   +2 more sources

Approximate solution of inhomogeneous fractional differential equation

Advances in Nonlinear Analysis, 2012
In this paper, we study the stability of a class of inhomogeneous fractional differential equations involving Caputo derivative. The approximate solutions have been studied.
Dutta Biju K., Arora Laxmi K.
doaj   +1 more source

An approximate solution for the time-fractional diffusion equation

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
In this paper, a numerical method based on a finite difference scheme is proposed for solving the time-fractional diffusion equation (TFDE). The TFDE is obtained from the standard diffusion equation by replacing the first-order time derivative with ...
Sayed Ali Ahmad Mosavi
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Approximating Solution Structure

, 2007
Contains fulltext : 55507.pdf (Publisher’s version ) (Open Access)
van Rooij, Iris, Hamilton, Matthew, Müller, Moritz, Wareham, Todd   +3 more
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Approximate analytical solution for mathematical models of thermal ignition and non-isothermal catalytic zero order reaction in a spherical geometry

Journal of King Saud University: Engineering Sciences, 2019
In this paper an approximate analytical solution for the Frank-Kamenetskii equation modeling thermal ignition without the depletion of the combustibles in a spherical annulus and non-isothermal zero order reaction in spherical catalyst particle is ...
Moustafa Aly Soliman
doaj   +1 more source

Effect of higher approximation of Krylov-Bogoliubov-Mitropolskii's solution and matched asymptotic solution of a differential system with slowly varying coefficients and damping near to a turning point

Vietnam Journal of Mechanics, 2004
Second approximate solution of a second order differential equation with slowly varying coefficients and damping is obtained by Krylov-Bogoliubov-Mitropolskii method. The method is illustrated by an example.
Roy K. C., Shamsul Alam M.
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Approximate Solution of Schrodinger Equation to Diatomic Molecule for Harmonic Oscillator

UMYU Scientifica Journal, 2023
This study has described the approximate solution of Schrodinger equation to diatomic molecule for harmonic oscillator. The solution procedure is developed by the Power series method and Newton’s second law.
Alhaji Tahir, Bukar Hassan
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Filtration of the underground water to the workings of a large diameter

Известия высших учебных заведений: Геология и разведка, 2019
An approximate solution obtained by the author for the problem of the flow of pressure groundwater to a large-diameter water receiving system with a disturbed aquifer with a constant flow rate has been given. The solution has been obtained using the most
M. M. Burakov
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Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain

Axioms, 2023
This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author.
Victor Orlov
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The Approximate Solution of Some Plane Boundary Value Problems of the Moment Theory of Elasticity

Advances in Mathematical Physics, 2016
We consider a two-dimensional system of differential equations of the moment theory of elasticity. The general solution of this system is represented by two arbitrary harmonic functions and solution of the Helmholtz equation.
Roman Janjgava
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