Two-band vortex finite difference solution
Finite Difference Solution of the Helmholtz Equation Based on Two Domain Decomposition Algorithms
... It has applications in seismic wave propagation, imaging and inversion. In the geophysical frequency-domain in- version, one needs to do forward modeling which means solving the Helmholtz equation. During the inversion ...
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SOLUTION OF TWO DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS USING FINITE DIFFERENCE METHOD
... ABSTRACT: In this research paper, we find the analytical and numerical solutions of “Laplace’s and Poisson’s differential equations” satisfying the given boundary conditions, using numerical methods. Mainly, we focus on ...
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A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method
... a finite difference method for solving 2-dimensional diffusion equation is ...nite difference formulation and its convergence and sta- ...obtained solution will be a recursive formula in each ...
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The Vortex Method With Finite Elements
... numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of ...
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Numerical Solution to Parabolic PDE Using Implicit Finite Difference Approach
... analytical solution (Bruaset, and Tveito, ...The finite difference method comes in two forms namely; the explicit methods and the implicit ...approximate solution and efficiency of the ...
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Numerical Solution of Poisson Equation Using Fuzzy Data by finite Difference
... in two dimensions are ...determined. Finite difference method applied of two different grids using five points, first for initial values and the second to solve Poisson equation ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... This paper is organized as follows: In section two, we briefly state some general results on the solvability and smoothness of the solution. In the third section, we fully describe our numerical scheme. In ...
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An efficient finite difference time domain algorithm for band structure calculations of Phononic crystal
... Consider propagation of the elastic wave in the XY plane. Therefore the displacement of the lattice and its stress tensor do not depend on z. With this assumption, there are two decoupled vibrational modes: mixed ...
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Generalized Finite Difference Method for Solving Two-dimensional Burgers’ Equations
... equations. Since the Burgers’ equations are a system of time- and space-dependent partial differential equations, the implicit Euler method and the GFDM are adopted for temporal and spatial discretizations, respectively. ...
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On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
... and two types of second order difference schemes were presented and the stability estimates for the solution of these difference schemes and for the first- and second-order difference derivatives were obtained ...
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Migrated Exploding Reflectors in Evaluation of Finite Difference Solution for Inhomogeneous Seismic Models
... Keywords: Finite Difference Method; Seismic Modeling; Migration; Exploding Reflector; Structural Similarity Index ...of two me- diums, whereas acoustic impedance is the product of medium velocity and ...
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A Cartesian Cut‐Stencil Method for the Finite Difference Solution of PDEs in Complex Domains
... HO-FDM2 solution, relatively better agreement can be achieved at this Reynolds number with central differencing of the convective ...converged solution. The independency of the solution on the value ...
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A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation
... of solution at advance mesh points, iterations continued until either maximum difference between two iterates is less than 10 − 9 or number of iterations reached 10 3 ...
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Moving mesh finite difference solution of non-equilibrium radiation diffusion equations
... FD solution of two- dimensional non-equilibrium radiation diffusion ...physical solution and is defined as the gradient flow equation of a meshing functional based on mesh equidistribution and ...of ...
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The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
... T h portant role in many scientific fields. One e partial differential equations have an im- of the models that is a special form of incom- pressible Navier-Stokes equation without having pressure term and continuity ...
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A Two-Dimensional, Finite-Difference Model of the Oxidation of a Uranium Carbide Fuel Pellet
... backward difference approximation is taken and a central difference is used for the equations describing the changing ...numerical solution, iterative techniques are used where the solution is ...
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Finite Difference Implicit Schemes to Coupled Two Dimension Reaction Diffusion System
... article, two finite difference implicit numerical schemes are described to approximate the numerical solution of the two-dimension mod- ified reaction diffusion Fisher’s system which ...
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Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... analytic solution and give the explicit non- standard finite-difference schemes on the basis of the exact finite-difference ...schemes. Two classic examples will be presented and the results illustrate the ...
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Introduction to Finite Difference Methods
... to Finite Difference Methods Since most physical systems are described by one or more differential equations, the solution of differential equations is an integral part of many engineering design ...
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SOLUTION OF TWO DIMENSIONAL BURGERS EQUATION BY USING HYBRID CRANK-NICHOLSON AND LAX-FREDRICHS’ FINITE DIFFERENCE SCHEMES ARISING FROM OPERATOR SPLITTING
... and Finite Difference Method (FDM) approach which is used in this ...solved solution via Hopf-Cole transformation and separation of variables to generate the initial and boundary ...
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