Results 1 to 10 of about 1,126,411 (268)

Properties of the series solution for Painlevé I [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
17 pages, 1 figure.
Hone, A. N. W.   +2 more
openaire   +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

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

A Simple Approach to Volterra-Fredholm Integral Equations [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2020
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
doaj   +1 more source

Analytical Solution for Three-Dimensional Steady Flow of Condensation Film on Inclined Rotating Disk by Optimal Homotopy Analysis Method

open access: yesWalailak Journal of Science and Technology, 2013
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
doaj   +1 more source

Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2022
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
doaj   +1 more source

Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters

open access: yesFrontiers in Earth Science, 2023
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
doaj   +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

Buckling analysis of laminated composite thin-walled I-beam under mechanical and thermal loads

open access: yesVietnam Journal of Mechanics, 2023
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
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

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