Finite difference method

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منابع مشابه

Mimetic finite difference method

Article history: Received 22 August 2012 Received in revised form 14 May 2013 Accepted 22 July 2013 Available online xxxx

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Adaptive boundaryless finite-difference method.

The boundaryless beam propagation method uses a mapping function to transform the infinite real space into a finite-size computational domain [Opt. Lett.21, 4 (1996)]. This leads to a bounded field that avoids the artificial reflections produced by the computational window. However, the method suffers from frequency aliasing problems, limiting the physical region to be sampled. We propose an ad...

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Finite difference method for solving partial integro-differential equations

In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method. First, we employing an algorithm for solving the problem based on the Crank-Nicholson scheme with given conditions. Furthermore, we discrete the singular integral for solving of the problem. Also, the numerical results ob...

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On the Wavelet Optimized Finite Difference Method

When one considers the e ect in the physical space, Daubechies-based wavelet methods are equivalent to nite di erence methods with grid re nement in regions of the domain where small scale structure exists. Adding a wavelet basis function at a given scale and location where one has a correspondingly large wavelet coe cient is, essentially, equivalent to adding a grid point, or two, at the same ...

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A finite-difference contrast source inversion method

We present a contrast source inversion (CSI) algorithm using a finite-difference (FD) approach as its backbone for reconstructing the unknown material properties of inhomogeneous objects embedded in a known inhomogeneous background medium. Unlike the CSI method using the integral equation (IE) approach, the FD-CSI method can readily employ an arbitrary inhomogeneous medium as its background. Th...

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ژورنال

عنوان ژورنال: Scholarpedia

سال: 2011

ISSN: 1941-6016

DOI: 10.4249/scholarpedia.9685