Laplace equation
Solution of the Young Laplace equation for three particles
... Young- Laplace equation. This equation relates the mean curvature of the bridge surface to the pressure deficiency due to the presence of the fluid (∆P ...Young-Laplace equation between ...
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Degenerate Parametric Integral Equations System for Laplace Equation and Its Effective Solving
... The aim of this work is to develop the method of solving PIES based on degenerate kernels to reduce the time of computations. Firstly, in this paper, we present the strategy of obtaining degenerate kernels in PIES (for ...
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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
... We study the Dirichlet problem for the 2D Laplace equation in a domain bounded by smooth closed curves and smooth cracks. In the formulation of the problem, we do not require compatibility conditions for ...
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On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane
... the Laplace equation outside several cracks in a plane is ...the Laplace equation and the boundary condition containing the jump of its normal derivative are specified on the ...Fredholm ...
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Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder
... 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 is reduced to the axisymmetric Cauchy problem for the Laplace ...
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Non-local Boundary Condition Steklov Problem for A Laplace Equation in Bounded Domain
... a Laplace equation, the harmonic function is obtained in the form of two sum- mands, in one of them, a boundary value of the unknown function, in another one a boundary value of the normal derivative of ...
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Numerical Solution of Laplace Equation using Fuzzy Data
... differential equation taking Laplace Equation in two variable into ...this equation numerically at different grid points, on the other hand we want to observe findings using fuzzy ...
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Modification of the Young-Laplace equation and prediction of bubble interface in the presence of nanoparticles
... Abstract: Bubbles are fundamental to our daily life and have wide applications such as in the chemical and petrochemical industry, pharmaceutical engineering, mineral processing and colloids engineering. This paper ...
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On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
... In the present work, we study properties of some integro-differential operators of the Hadamard-Marchaud type in the class of harmonic functions. As an application of these properties, we consider the question of the ...
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Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane
... Laplace equation but also preserve the ...tion equation in two ...elliptic equation with variable coefficients in a strip region, the convergence rates of two algorithms are obtained by an ...
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Multiscale boundary element method for Laplace equation
... This paper applied the multiscale boundary element method for the numerical solution of the Laplace equation. BEM has been widely used to solve the numerical problems, as it offers an excellent accuracy, ...
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The Dirichlet problem for the Laplace equation in supershaped annuli
... In this contribution, a suitable technique useful to compute the coefficients of the Fourier-like expansion representing the solution of the Dirichlet boundary-value prob- lem for the Laplace equation in ...
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Space Robot Path Planning for Collision Avoidance
... In this paper for the elimination of the above defects, spline interpolation technique is proposed. The nodal point which is given as a point of path will be defined to be a part of smoothed spline function. And ...
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Vol 9, No 1 (2018)
... Heat Equation, Wave Equation, Laplace Equation and Telegrapher’s Equation ...of Laplace and Sumudu transforms which is called Elzaki ...
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Stagnation Zones for -Harmonic Functions on Canonical Domains
... In this section, we will prove the Saint-Venant principle for solutions of the A-Laplace equation. The Saint-Venant principle states that strains in a body produced by application of a force onto a small ...
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Modeling and behavior of the simulation of electric propagation during deep brain stimulation
... The propagation of the electric potential in the simulated models is obtained by solving the Laplace equation from the finite element method (FEM) using Comsol Multiphysics (COMSOL Inc., Burlington, MA). As ...
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SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD
... heat equation, the wave equation and the Laplace equation are some of the well known partial differential equations used in these ...as Laplace transform, Fourier ...differential ...
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Block Unification Scheme for Elliptic, Telegraph, and Sine Gordon Partial Differential Equations
... tion, Laplace equation subject to Neumann boundary conditions, Laplace equation subject to Dirichlet boundary conditions, Helmoltz equation, and the two-dimensional convection diffusion ...
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The modelling of electromagnetic methods for the nondestructive testing of fatigue cracks
... considered the two-dimensional Laplace equation to apply to the fields on the surface of the test-piece and also on the two faces of the crack, with the field components continuous a[r] ...
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Positive solutions for P Laplace problems with nonlinear time fractional differential equation
... of fractional differential equations has emerged as an important area of investigation by the fact that it has numerous applications in viscoelasticity, electrochemistry, control, elec- tromagnetic, porous media, and so ...
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