Results 121 to 130 of about 45,802 (287)
SOME PROPERTIES OF FRACTIONAL BURGERS EQUATION
The fractional generalization of a one‐dimensional Burgers equationwith initial conditions ɸ(x, 0) = ɸ0(x); ɸt(x,0) = ψ0 (x), where ɸ = ɸ(x,t) ∈ C2(Ω): ɸt = δɸ/δt; aDx p is the Riemann‐Liouville fractional derivative of the order p; Ω = (x,t) : x ∈ E 1, t > 0; and the explicit form of a particular analytical solution are suggested.
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Abstract Background Midline establishment is a fundamental process during early embryogenesis for Bilaterians. Midline morphogenesis in non‐amniotes can occur without mitosis, through Planar Cell Polarity (PCP) signaling. By contrast, amniotes utilize both cellular processes for developing the early midline landmark, the primitive streak (PS).
Zhiling Zhao, Rieko Asai, Takashi Mikawa
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This paper studies the 1D pressureless turbulence (the Burgers equation). It shows that reliable numerics in this problem is very easy to produce if one properly discretizes the Burgers equation. The numerics it presents confirms the 7/2 power law proposed for probability of observing large negative velocity gradients in this problem.
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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A conceptual framework of virtual water showing its sources, major applications, components of the virtual water footprint, and emerging future directions. The diagram emphasizes the growing role of virtual water in global sustainability and resource planning.
Priti Bhowmik +2 more
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This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation.
M Vaghefi +3 more
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This study examined how emotional symptoms co‐develop from childhood to adolescence using longitudinal data from over 11,000 children and adolescents. Network analyses revealed reciprocal links between core symptoms of anxiety and depression, with no significant differences between males and females.
Eira R. Aksnes +11 more
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ABSTRACT Given the benefits of workplace friendship, understanding its maintenance is essential. Age is particularly relevant due to the aging and increasingly age‐diverse workforce, yet its relationship with workplace friendship remains unclear, with prior studies reporting positive, negative, or null correlations. As age itself is a proxy for further
Ulrike Fasbender, Nina M. Junker
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New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations
The purpose of this article is to explore a new method for solving one of the nonlinear partial differential equations (NPDE) which is difficult to solve.
Nathanon Sribua-Iam +1 more
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