Results 11 to 20 of about 4,525,221 (172)

Path Integral Solution by Sum Over Perturbation Series [PDF]

open access: yes, 1999
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method.
De-Hone Lin, Gell-mann M.
core   +3 more sources

A practical review of the Adomian decomposition method: computer implementation aspects [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2015
In this paper, a practical review of the Adomian decomposition method, to extend the procedure to handle the strongly nonlinear problems under the mixed conditions, is given and the convergence of the algorithm is proved.
Ahmad Molabahrami
doaj   +1 more source

Properties of the series solution for Painlevé I [PDF]

open access: yes, 2013
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painlevé equation.
Carlitz L.   +21 more
core   +2 more sources

On imploding cylindrical and spherical shock waves in a perfect gas [PDF]

open access: yes, 2006
The problem of a cylindrically or spherically imploding and reflecting shock wave in a flow initially at rest is studied without the use of the strong-shock approximation.
Hornung, H. G.   +3 more
core   +1 more source

Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions

open access: yesEntropy, 2018
In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time.
Xin Liang   +4 more
doaj   +1 more source

Exact and Approximate Solutions for Some Classes of the Inhomogeneous Pantograph Equation

open access: yesAxioms, 2023
The standard pantograph delay equation (SPDDE) is one of the famous delay models. This standard model is basically homogeneous in nature and it has been extensively studied in the literature. However, the studies on the general inhomogeneous form of such
A. A. Al Qarni
doaj   +1 more source

On the Abel Equation of the Second Kind with Sinusoidal Forcing

open access: yesNonlinear Analysis, 2007
We consider the Abel equation of the second kind with sinusoidal forcing, which is a model equation for western boundary outflow in the Stommel model of the large scale ocean circulation.
G. Alobaidi, R. Mallier
doaj   +1 more source

Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension.
E. Navarro, L. Jódar, R. Company
doaj   +1 more source

Large Order Behavior of Quasiclassical Euclidean Gravity in Minisuperspace Models [PDF]

open access: yes, 1996
We demonstrate in two minisuperspace models that a perturbation expansion of quasiclassical Euclidean gravity has a factorial dependence on the order of the term at large orders. This behavior indicates that the expansion is an asymptotic series which is
Fugleberg, T., Zhitnitsky, A.
core   +2 more sources

Model of the telegraph line and its numerical solution [PDF]

open access: yes, 2018
This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Nečasová, Gabriela   +2 more
core   +1 more source

Home - About - Disclaimer - Privacy