finite-difference parabolic equation method (FD-PEM)
Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations
... efficient method for modelling electrically large radiowave propagation problems in which the effect of backward waves can be ignored is the Finite Difference Parabolic Equation ...
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A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... order finite difference algorithm for solving a class of time fractional sub-diffusion equation with variable coefficient was ...analysis method. This concept of constructing high order ...
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An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... valid method to reduce the order of numerical models (see [9– ...element, FD, finite volume element, reduced basis, and meshless methods for PDEs (see, ...optimized FD extrapolating models based on ...
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An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... A large number of numerical examples have proved that the proper orthogonal decom- position (POD) is a powerful technique offering the adequate approximation for numerical models with fewer unknowns, which means that the ...
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Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation
... this method is convergent, computationally stable and highly ...Explicit method employing the Douglas and Peaceman-Rachford variant, AGE-DR and AGE-PR is only ( 2 , 1 ) and ( 2 , 2 ) accurate ...heat ...
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Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments
... differential- difference equation with turning point in one space dimen- sion on a rectangular ...implicit finite difference method is used fin time and the resulting set of ordinary ...
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Iterative Solution of Mesh Constrained Optimal Control Problems with Two Level Mesh Approximations of Parabolic State Equation
... use finite difference schemes to approximate the state equation, while the most of the results can be extended for the case of lowest order finite element method, for a control in ...
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High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates
... A finite difference method was proposed to solve the parabolic equation in polar coordinates in ...compact difference scheme for the Helmholtz ...Helmholtz equation with ...
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FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS
... solved parabolic partial differential equations in three-dimensions using the finite difference method such as Alternating Direction Implicit ...heat equation using Alternating ...
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High performance visualization of human tumor growth software
... hyperbolic equation for breast pressure and parabolic equation of brain tumors ...numerical finite-difference method is focused to design the discreatization of these partial ...
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An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate Chemistry
... least-squares finite volume procedure [64], a third-order finite-volume technique [17], development of a high-order finite volume method based on moving Kriging shape functions [7], transonic ...
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A Comparative Study of Two Spatial Discretization Schemes for Advection Equation
... advection equation, namely the first finite difference method and the method of ...Neumann method and with the matrix ...advection equation and compare their accuracy and ...
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Parameter determination in a parabolic inverse problem in general dimensions
... Over the last few years, it has become increasingly apparent that many physical phenomena can be described in terms of parabolic partial differential equations with source control parameters. This type of equations ...
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Finite Difference Solution of the Helmholtz Equation Based on Two Domain Decomposition Algorithms
... We use the preconditioned Bi-CGSTAB method to solve the problem. Figure 1, Figures 2 and 3 are the simulation results for wave number 20, 30 and 40 respec- tively. We can see that the obtained waveform in these ...
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Finite difference method for numerical solution of a generalized burgers-huxley equation
... the equation, based on collocation method using radial basis functions, called Kansa’s approach was used by Khattak in ...collocation method using Chebyshev polynomials for spatial derivatives and ...
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A Compact Finite Difference Method for Solving the General Rosenau–RLW Equation
... three–step method is used for the time discretization of the above described ...presented method since it does not require extra effort to deal with the nonlinear ...
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Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... Burgers equation, the non- standard finite-difference (NSFD) schemes have been proved to be one of the most effi- cient approaches in recent ...NSFD method is more stable [, , ...
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Computational Methods for Three Coupled Nonlinear Schrödinger Equations
... In recent years, the concept of soliton has been receiving considerable attention in optical communications, since soliton is capable of propagating over long distances without change of shape and velocity. It has been ...
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Research and application of compact finite difference method of low reaction diffusion equation
... higher-order finite difference ...the difference solution by matrix method and analyzes the stability and convergence of the scheme by Fourier ...
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A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation
... We have used the Newton-Raphson iteration method to compute the values (7) and (8) in all above examples. All computations in the experiment were performed on MS Window 2007 professional operating system in the ...
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