[PDF] Top 20 An Optimized Numerical Method for Solving the Two-Dimensional Impedance Equation

... An optimized algorithm that approaches solutions for the forward Dirichlet boundary value problem, corresponding to the Impedance Equation in the plane, is an important contribution to the Electrical ... See full document

... the numerical method for solving the forward problem of the two-dimensional Impedance Equation ...This numerical method is based upon the elements of the ... See full document

... for solving (1) appeared when ...the two- dimensional case of (1) was directly related with a special class of Vekua equation [11], and ... See full document

... dierential equation with random initial and boundary ...dierential equation was initially introduced by Kandel and Byatt and later applied in fuzzy processes and fuzzy dynamical ...dierential ... See full document

... second-order two-step backward difference method and second-order WSGD ...new numerical approximation for the two-dimensional distributed-order time fractional reaction–diffusion ... See full document

... and optimized Schwarz algorithms have been applied to time-harmonic Maxwell’s equations discretized by DG ...on optimized interface conditions, two-dimensional nu- merical results show a good ... See full document

... In general, a mathematical model for groundwater problems is governed by PDEs including specification of system geometry, boundary conditions and initial conditions for transient process. This problem can be solved by ... See full document

... a numerical simulation is carried out on the problem of water pollution–diffusion to verify the validity and practicability of the model and ...algorithm. Numerical examples are given to illustrate the ... See full document

... Burger's equation and the momentum o f well-known Navier-Stokes equation are similar, but the Burger’s equations are easier to be solved than the governing equations o f Navier-Stokes ...meshfree ... See full document

... Fractional differential equations have been studied by many researchers in recent years. The fact shows that fractional differential equations can describe many phenomena and processes in various fields of science and ... See full document

... Quadrature Method for the solution of ...for solving Convection-Diffusion equations in ...collocation method based on exponential B-spline basis functions to solve some benchmark nonlinear wave ... See full document

... Three dimensional Poisson equation for pressure field using an over - relaxation method is handled at the second ...Three dimensional Poisson equation is parallelized by using various ... See full document

... two consecutive periods, respectively, at t = 141.54 and t = 144.08 , are shown in panels (c)–(e). Interestingly, even though the energy completes one period of oscillation between each profile, we see that the ... See full document

... the numerical simulation of phase field are all along the very important problem which has been discussed at home and abroad, there are some theory and realistic sense for us to deal with the ...Allen-Cahn ... See full document

... and numerical problems is growing rapidly from the past few ...and numerical problems with high computational ...of numerical computations, which may range from matrix multiplication, polynomial ... See full document

... but c does not depend on λ and μ. It is found that the water flow oscillates regularly that is pe- riodic for x = 5.0, x = 10.0, x = 15.0, x = 20.0 and x = 25.0 against t. Here the time t defined over the interval [0, ... See full document

... To illustrate the idea of the method described in 4, consider a domain Ω as a unit cube placed in the first octant such that the origin is one of its vertex. This domain Ω contains M small bodies. The small bodies ... See full document

... In this work, we will empathize the behavior of the method employing it into non-smooth domains, and comparing its effectiveness with the results obtained when analyzing the unitary disk. For both cases, we will ... See full document

... the numerical results of the splitting extrapolation of types 1 and 2 and Gauss quadrature ...extrapolation method is suit for solving high dimen- sional integrals, and Gauss quadrature rule is ... See full document

... basis polynomials for spectral approximations and then as collocation points to determine the expansion coefficients. Performances of these four types of nodes in Lagrange’s spectral collocation method are ... See full document