Results 11 to 20 of about 4,525,221 (172)
Path Integral Solution by Sum Over Perturbation Series [PDF]
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.
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A practical review of the Adomian decomposition method: computer implementation aspects [PDF]
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
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Properties of the series solution for Painlevé I [PDF]
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
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On imploding cylindrical and spherical shock waves in a perfect gas [PDF]
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
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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
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Exact and Approximate Solutions for Some Classes of the Inhomogeneous Pantograph Equation
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
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On the Abel Equation of the Second Kind with Sinusoidal Forcing
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
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Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension
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
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Large Order Behavior of Quasiclassical Euclidean Gravity in Minisuperspace Models [PDF]
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.
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Model of the telegraph line and its numerical solution [PDF]
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
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