The One-Dimensional Self-Similar Solution
On the Solution of One Dimensional Ising Models
... a one-dimensional lattice with an arbitrary finite number of interacting neighbors is expressed in terms of the principal eigenvalue of a matrix of finite ...
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Advection-dominated accretion: A self-similar solution
... Abstract We consider viscous rotating accretion flows in which most of the viscously dissipated energy is stored as entropy rather than being radiated. Such advection-dominated flows may occur when the optical depth is ...
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Cell size sensing—a one-dimensional solution for a three-dimensional problem?
... in early and small morphologically simple cells where dif- fusion ensured uniformity of the readout throughout the cell. As cells evolved to become larger and morphologic- ally complex, protein levels could become ...
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Approximate Solution of One dimensional Heat Conduction Problem
... paper, one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions is presented and a Homotopy Perturbation Method is utilized for solving the ...continuous ...
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Numerical Solution for One-dimensional Solute Transport with Variable Dispersion
... the solution for time-dependent dispersion and groundwater velocity [19, ...analytical solution is solved for dispersion directly proportional to groundwater ...analytical solution when the ...
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AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING
... Abstract. The present paper discusses the problem of one dimensional groundwater recharge in the vertical direction. The groundwater is recharged by spreading of water in vertical direction and the moisture ...
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A Short Note on Self Similar Solution to Unconfined Flow in an Aquifer with Accretion
... state, one-dimensional (on the x-axis), unconfined and satu- rated flow in an aquifer, described by the Boussinesq equation, combined with ...A self-similar solution is derived that, ...
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Detecting and Estimating Multivariate Self-Similar Sources in High-Dimensional Noisy Mixtures
... multivariate self-similarity, operator fractional Brownian motion, wavelet spectrum, model order selection ...that one same system is monitored by a large number of sensors producing multivariate and ...
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A Self Similar Solution of a Shock Wave Propagation in a Perfectly Conducting Dusty Gas
... Abstract: Self-similar solutions are obtained for unsteady, one-dimensional adiabatic (or isothermal) flow behind a strong shock in a perfectly conducting dusty gas in presence of a magnetic ...
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Adaptive Method of Approximate Particular Solution for One-Dimensional Differential Equations
... Radial Basis Function(RBF) has been praised for its ease of implementation and sim- plicity in data approximation [1], and it becomes the choice as a method used for the numerical solution of differential ...
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On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system
... Abstract This paper focuses on a degenerate boundary value problem arising from the study of the two-dimensional Riemann problem to the nonlinear wave system. In order to deal with the parabolic degeneracy, we ...
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Self similar pattern formation and continuous mechanics of self similar systems
... however one specific type of patterns outstand- ing in its ubiquity – the self-similar patterns whose parame- ters or state variables are expressible via power functions of ...The ...
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Self similar singular solution of doubly singular parabolic equation with gradient absorption term
... the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term u t = div( |∇ u m | p − 2 ∇ u m ) − |∇ u | q for p > 1, m(p − 1) > 1 and q > 1 in R n × (0, ∞ ...
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Creep Characterization of Aluminum Magnesium Solid Solution Alloy through Self Similar Microindentation
... a self- similar ...for self-similar indentation creep and carried out high-temperature indentation tests on pure metals, solid-solution alloys, dispersion-strengthened alloys, and ...
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A self similar solution of expanding cylindrical flux ropes for any polytropic index value
... expand self-similarly even when the polytropic index γ is larger than ...of self-similar solutions was described for which cylindrical flux ropes expand only in the medium where γ is less than ...
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Brief communication: A nonlinear self-similar solution to barotropic flow over varying topography
... nonlinear solution, valid for topographies h = h 0 − αxy 3 , takes the form of the Lambert W -function for pseudo ...linear solution, valid for topogra- phies h = h 0 − αxy −γ , takes the form of the error ...
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Analytical Solution to the One Dimensional Advection Diffusion Equation with Temporally Dependent Coefficients
... a one-dimensional advection-diffusion equation with temporally dependent coefficients three cases may arise: solute dispersion parameter is time dependent while the flow domain transporting the solutes is ...
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Low coherence interferometric imaging: solution of the one dimensional inverse scattering problem
... on one volume element of the specimen at a time, and the fluorescent light emitted from this spot is collected by a lens and focused on a pinhole screen blocking light from points out of the focal ...µm. ...
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Analytical and Numerical Solution of One Dimensional a Rectangular Fin with an Additional Heat Source
... exact solution was derived for one example of the non-uniform ...EFEM) solution to reduce the computational ...the solution of one-dimensional heat transfer problem in a ...
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Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
... Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences ...exact solution for the equation, there has been found an excellent approximation between exact ...
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