Results 21 to 30 of about 1,578,090 (263)
Approximate solution of inhomogeneous fractional differential equation
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.
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Approximating Solution Structure
Contains fulltext : 55507.pdf (Publisher’s version ) (Open Access)
van Rooij, Iris +3 more
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A novel numerical scheme for reproducing kernel space of 2D fractional diffusion equations
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
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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
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Exterior and interior metrics with quadrupole moment [PDF]
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
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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 to the stochastic Kuramoto model
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
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An $ {\varepsilon} $-approximate solution of BVPs based on improved multiscale orthonormal basis
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
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Filtration of the underground water to the workings of a large diameter
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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Normalization of the wavefunction obtained from perturbation theory based on a matrix method
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
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