Results 21 to 30 of about 1,578,090 (263)

Approximate solution of inhomogeneous fractional differential equation

open access: yesAdvances 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

Approximating Solution Structure

open access: yes, 2007
Contains fulltext : 55507.pdf (Publisher’s version ) (Open Access)
van Rooij, Iris   +3 more
openaire   +4 more sources

A novel numerical scheme for reproducing kernel space of 2D fractional diffusion equations

open access: yesAIMS Mathematics, 2023
A novel method is presented for reproducing kernel of a 2D fractional diffusion equation. The exact solution is expressed as a series, which is then truncated to get an approximate solution.
Siyu Tian, Boyu Liu , Wenyan Wang
doaj   +1 more source

Approximate analytical solution for mathematical models of thermal ignition and non-isothermal catalytic zero order reaction in a spherical geometry

open access: yesJournal 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

Exterior and interior metrics with quadrupole moment [PDF]

open access: yes, 2010
We present the Ernst potential and the line element of an exact solution of Einstein's vacuum field equations that contains as arbitrary parameters the total mass, the angular momentum, and the quadrupole moment of a rotating mass distribution.
B. Voorhees   +19 more
core   +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

open access: yesVietnam 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.
doaj   +1 more source

Approximate solution to the stochastic Kuramoto model

open access: yes, 2013
We study Kuramoto phase oscillators with temporal fluctuations in the frequencies. The infinite-dimensional system can be reduced in a Gaussian approximation to two first-order differential equations.
Schimansky-Geier, Lutz   +1 more
core   +1 more source

An $ {\varepsilon} $-approximate solution of BVPs based on improved multiscale orthonormal basis

open access: yesAIMS Mathematics
In the present paper, we construct a set of multiscale orthonormal basis based on Legendre polynomials. Using this orthonormal basis, a new algorithm is designed for solving the second-order boundary value problems.
Yingchao Zhang, Yuntao Jia, Yingzhen Lin
doaj   +1 more source

Filtration of the underground water to the workings of a large diameter

open access: yesИзвестия 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
doaj   +1 more source

Normalization of the wavefunction obtained from perturbation theory based on a matrix method

open access: yes, 2017
We present the derivation of the normalization constant for the perturbation matrix method recently proposed. The method is tested on the problem of a binary waveguide array for which an exact and an approximate solution are known.
Moya-Cessa, H. M.   +2 more
core   +1 more source

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