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Properties of the series solution for Painlevé I [PDF]
17 pages, 1 figure.
Hone, A. N. W. +2 more
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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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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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A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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In this paper, the Optimal Homotopy Analysis Method (OHAM) has been used to derive a highly accurate analytic solution for the steady three-dimensional problem of a condensation film on an inclined rotating disk.
Hany Nasr HASSAN, Mohammad Mehdi RASHIDI
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Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP
The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
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Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
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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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Buckling analysis of laminated composite thin-walled I-beam under mechanical and thermal loads
Despite the extensive use of thin-walled structures, the studies on their behaviours when exposed to extreme thermal environment are relatively scarce.
Xuan-Bach Bui +4 more
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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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