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Analytical and Numerical Solution of Heat Transfer Equation in Rectangular Composite Fins [PDF]
Today, the use of composites has received widespread attention due to their special properties that cannot be found in alloys. Kevlar-Epoxy composite is one of the most widely used materials. In this paper, we analyze the heat transfer in rectangular fin
Mohsen Hajinejad Sorkhi +1 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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New Anisotropic Exact Solution in Multifield Cosmology
In the case of two-scalar field cosmology, and specifically for the Chiral model, we determine an exact solution for the field equations with an anisotropic background space.
Andronikos Paliathanasis
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Sampling moiré method: A more exact solution
An important task in the sampling moiré method is phase measurement of a grating image by using the phase of the moiré fringe from a single-shot image.
Mohammad Abolhassani
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This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi +1 more
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Exact Solution of Schrödinger Equation for Pentaquark Systems [PDF]
In this paper, we present an exact analytical solution for five interacting quarks. We solve the Schr\"{o}dinger equation for pentaquarks in the framework of five-body and two-body problems.
Narges Tazimi +2 more
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Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary.
Saqib Khaliq +5 more
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Hertz elastic dynamics of two colliding elastic spheres
This paper revisits a classic problem in physics — Hertz elastic dynamics of two colliding elastic spheres. This study obtains impact period in terms of hypergeometric function and successfully combines Deresiewicz’s three segmental solutions into one ...
B.H. Sun
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Spiked oscillators: exact solution [PDF]
A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation.
Aguilera-Navarro V C +26 more
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Exact Solution of selfconsistent Vlasov equation [PDF]
An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically.
Morawetz, K.
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