one dimensional analytical field solutions
Relaxation time for nonlinear response of a Brownian particle subject to a step external force: Analytical solutions for one dimensional models
... critical field is given by j /2 s 5 1 ! . In the case of the strong bias field ~ j →`! , when the potential ~ ...magnetic field following an infinitesimal change in that field @ 13,16,21 # ...
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Analytical solutions of one-dimensional Advection equation with Dispersion coefficient as function of Space in a semi-infinite porous media
... (2014). One-dimensional uniform and time varying solute dispersion along transient groundwater flow in a semi- infinite ...(1979). Field observations of tracer dispersion under natural flow ...
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Three-dimensional analytical models for time-dependent coefficients through uniform and varying plane input source in semi-infinite adsorbing porous media.
... an analytical solution for the three-dimensional ADE in Cartesian coordinates is derived in semi-infinite domain along the ...flow field the temporal dependence is ...
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Three-Dimensional Analytical Model for an Axial-Field Magnetic Coupling
... When cylindrical coordinates are use, the solutions arising from the resolution of the PDE contain Bessel’s functions. This leads to some numerical difficulties and a lack of accuracy since only few harmonics can ...
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Analytical and Numerical Solution of One Dimensional a Rectangular Fin with an Additional Heat Source
... approximation solutions. In this study, the exact solution was derived for one example of the non-uniform ...of one-dimensional heat transfer problem in a rectangular thin ...the field, ...
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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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An Analytical Approach for One Dimensional Advection Diffusion Equation with Temporally Dependent Variable Coefficients of Hyperbolic Function in Semi Infinite Porous Domain
... an analytical solutions for groundwater pollution problems are major interesting area for civil engineers, hydrologist, chemical engineer and mathematicians, because these solutions are very much ...
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TWO-DIMENSIONAL ANALYTICAL MAGNETIC FIELD CALCULATIONS FOR DOUBLY-SALIENT MACHINES
... Therefore, analytical solutions, if possible, are preferred in the inherently iterative design process of an electromagnetic ...of analytical techniques, they, unlike numerical techniques, are ...
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Analytical three dimensional magnetohydrostatic equilibrium solutions for magnetic field extrapolation allowing a transition from non force free to force free magnetic fields
... MHS solutions have been used for modeling both global solar magnetic field models, using spherical coordinates ...MHS solutions in Cartesian geometry, ...
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Three-dimensional semi-analytical solutions for the transient response of functionally graded material cylindrical panels with various boundary conditions
... In this paper, a 3D semi-analytical method is proposed by introducing the Durbin’s Laplace transform, as well as its numerical inversion method, state space approach and differential quadrature method to analyse ...
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Analytical Solution of One-Dimensional Burgers’ Equation with the Help of Mahgoub Transform Method
... of one-dimensional Burger's equation and furthermore to give another technique for solving Burger's ...of one-dimensional Burger's equations were considered and used to show the pertinence and ...
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Applications of one and two dimensional Volterra inequalities in differential equations of the hyperbolic type
... of one-dimensional and two-dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to var- ious boundary value problems for ...
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Magnetic Field Created by a Uniformly Magnetized Tile Permanent Magnet
... This paper continues the work published in a previous paper [1]. We present a more general formulation of the magnetic field produced by a tile permanent magnet whose polarization can be directed along any ...
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General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients
... In this work, we consider a model to the longitudinal vibrations of a beam equation with thermoviscoelastic damping. Motivated by Dafermos [], we introduce a new variable, and the system is transformed into a new ...
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A Review and Update of Analytical and Numerical Solutions of the Terzaghi One Dimensional Consolidation Equation
... Terzaghi one-dimensional consolidation ...pressure. Analytical and numerical resolutions of this equation allow determining the water pressure variation before and after the application of a ...
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Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations
... two dimensional Fisher ...wave solutions to the two dimensional Fisher and Nagumo equations are set in forms a finite series of multiplications of powers of ...
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Explicit Exact Solutions to Some One Dimensional Conformable Time Fractional Equations
... the solutions of some problems related to RLW-Burgers are expressed in that ...of solutions of the RLW-Burgers ...exact solutions are derived by using some expansion methods[10] as some complex ...
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Numerical Solutions of One-Dimensional Bioheat Transfer Equation in Cylindrical Living Tissues
... In this paper, we study the effect of thermal parameters of dermal part in cylindrical living tissue. The metabolic heat generation and rate of blood perfusion is taken uniformly in dermal part of living tissue. The ...
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Accurate Numerical Steady State and Transient One Dimensional Solutions of Semiconductor Devices
... The knowledge of the conditions of convergence and stability of a particular uiscretizat1on scheme ls a problem or fUndamental nature in the numerical solution of partial differential pa[r] ...
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Brownian Motion in Parabolic Space
... The Fickian diffusion equation (F-equation), which is a continuous equation valid in a conservation system under the condition of no sink and source, is one of the basic equations in physics [7]. When the ...
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