Rectangular domain for solving Laplace’s equation
Black-Scholes Equation in Laplace Transform Domain
... It took more then 10 years to “discover” Stehfest algorithm in Hydrodynamics of porous media. In short time employing of the algorithm dramatically improved the quality of well testing analysis in the 80s. Double-Barrier ...
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On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped
... In this paper, we consider the Dirichlet problem for the Laplace equation on a rectangu- lar parallelepiped. We assume that the boundary values on the faces have the sixth-order derivatives satisfying the ...
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The Hopf-Laplace Equation
... |ψ χ j (z)| → q |ψ χ(z)| everywhere. Here we recall that ϕ is assumed to be continuous, so we can take ψ = ϕ in (6.5). Finally, since U 0 was an arbitrary compact subset of U, we conclude from (6.5) with the desired ...
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Degenerate Parametric Integral Equations System for Laplace Equation and Its Effective Solving
... It was noted, that in order to obtain satisfactory solutions, we need more interpolation points in case of kernel P than in kernel U . We should also use more interpolation nodes for adjacent segments. The collocation ...
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Method For Solving Fuzzy Integro-Differential Equation By Using Fuzzy Laplace Transformation
... of solving fuzzy integro-differential equation under certain condition by using fuzzy Laplace transformation ...integro-differential equation, fuzzy Laplace Transformation, ...
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Non-local Boundary Condition Steklov Problem for A Laplace Equation in Bounded Domain
... a Laplace eq- uation being a canonic form of elliptic type of ...a Laplace equation, under non-local boundary condi- tion the Steklov problem was investigated in [3] and a sufficient condition for ...
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Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Sine function
... Laplace transform is used for solving differential ...differential equation, fuzzy initial and boundary value problems, we use fuzzy Laplace ...fuzzy Laplace transform is that it ...
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Macromodeling of Mutual Inductance for Displaced Coils Based on Laplace s Equation
... Laplace’s Equation Harry Weber, Harun Baran, Fabian Uterm¨ohlen and Christian Schuster, Senior Member, IEEE Abstract—Magnetic coupling is applied in a vast of different applications like sensors or medical ...
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The Dirichlet Problem for the 2D Laplace Equation in a Domain with Cracks without Compatibility Conditions at Tips of the Cracks
... has been previously studied in 2–6, where theorems on existence and uniqueness of a classical solution have been proved, and the integral representation for a classical solution has been obtained. In the present paper, ...
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Symplectic Pseudospectral Time-Domain Scheme for Solving Time-Dependent Schrodinger Equation
... odinger equation has become increasingly important because of the tremendous demands for the design and optimization of nanodevices, where quantum effects are significant or dominant ...odinger equation is ...
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LAPLACE TRANSFORMATION METHOD FOR THE BLACK-SCHOLES EQUATION
... for solving the Black-Scholes equation, for example in [32, 28] and [10] and the references therein, one can find popular numerical schemes for option ...of solving an elliptic system to advance to a ...
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Experimental Solution to the Laplace Equation, a Tutorial Approach
... 9) From Fig. 6, it can be easily understood that floating the boundaries in two opposite sides is equivalent to removing the dependency of the volatge on that dimension. 10) Using numerical approach, solving the ...
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The Dirichlet problem for the Laplace equation in supershaped annuli
... for solving boundary-value problems (BVPs) for the Laplace and Helmholtz equations in canoni- cal domains has been extended in order to address similar differential problems in sim- ply connected starlike ...
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Multiscale boundary element method for Laplace equation
... the Laplace equations with the help of Fortran. Solving the problem of Laplace equations using Bondary Element Method is more slower since heavily use the numerical ...
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A hybrid method for solving time fractional advection diffusion equation on unbounded space domain
... for solving the time fractional advection–diffusion equation on an unbounded space ...time domain, and the modified Legendre functions are utilized to approximate the solution on an unbounded space ...
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Order distributions and the Laplace domain logarithmic operator
... the Laplace domain logarithmic opera- tor at high frequencies, ω > 1, or small ...From Equation 12, it can be seen that the reciprocal Laplace-domain logarithmic operator can be ...
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An Analysis of Double Laplace Equations on a Concave Domain
... Double Laplace Equation, Point-Match 1. Introduction The Laplace equations show an important role in the applied mathematical re- searches and ...Laplace’s equation with appropriate regularity ...
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Solving One Problem of Diffusion by Multiple Laplace Transforms
... for solving partial dierential equations by means of multiple Laplace transforms is ...diusion equation with delay is analytically exactly ...
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Dirichlet problem for Laplace–Beltrami equation on hypersurfaces—FEM approximation
... the Laplace equations and constrained by classical Dirichlet–Neumann mixed boundary conditions for the Laplace equation in the layer domain Ω ε := S × (−ε, ε) of thickness 2ε, where ...
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Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder
... D elliptic partial differential equation with variable coefficients. In this paper, we consider the problem of an extension of the field potential specified on the inside surface of a hollow cylinder into space, and it ...
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