Finite Difference Equation
Python Stencil Environment also know as PySE is a new python library for solving Partial Differential Equations with the Finite Difference Method (FDM). This is still a quite new library, and the current release must be considered as beta software. It is quite rough around the edges,...
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Calculate the electromagnetic eigenmodes and propagation constants of optical waveguides using the finite difference method. Features:1. Includes vector, semivector, and scalar versions.2. Can solve for all components of E and H.3. Allows for perfectly-matched boundary layers.4. Can model...
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The attachment contains:1. Related matlab files.2. Picture files of possible outputs.3. A read me text file.4. A report containing detailed explanations about the basics and about coding algorithm used herein.Finite difference (central) method is applied and solution is obtained for the stream...
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Solves nonlinear diffusion equation which can be linearised as shown for the general nonlinear diffusion equation in Richtmyer & Morton . The approach is to linearise the pde and apply a Crank-Nicolson implicit finite difference scheme to solve the equation numerically.Matlab run...
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http://simulations.narod.ru/Solve 2d wave equation with Finite Difference Method. Theory described in description.docx. Droplet put on the water surface to start waves. There is a decay in wave equation. conv2 function used for faster calculations.as_colormap.m - visualization of waves as...
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Matlab implementation of a monodomain reaction-diffusion model in 2-D. The model equations are a variant of the Fitzhugh-Nagumo equations modified to simulate the cardiac action potential. The progression of the two normalized state variables, membrane voltage (v) and recovery (r), is computed...
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A simple one-dimensional finite-difference time-domain (FDTD) electromagnetic routine that allows the user to specify arbitrary permittivity, permeability and conductivity profiles. Useful for helping students to visualize reflection, transmission, wave velocity and impedance concepts. Will also...
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These files are associated with the free undergraduate level textbook: 'Introductory Finite Difference Methods for PDEs' which may be downloaded from a link on my homepage which also contains worked solutions, case studies and audio visual material. To find my homepage just search for 'clive...
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The function nonlinearBVP_FDM .m is an implementation of thenonlinear finite difference method for the general nonlinearboundary-value problem --------------------------------------------- y''=f(x,y,y'), for a> Y = nonlinearBVP_FDM(1,3,17,43/3);Note that Y(:,1) represents x and Y(:,2) is vector...
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Complex step differentiation (CSD) has many advantages in efferency and accuracy over finite difference approaches (central, forward and backward). This code demonstrates how the Jacobian matrix of a given function at the reference point can be calculated using the CSD approach.
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FDTD(Finite Difference Time Domain) is the most easiest method of EM Solver.In this code i just demonstrate that how can we launch multiple sources in a single time,and how they can combine effect with in single time domain. The Sources are taken as 20GHz Sine wave and number of signal are...
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A fortran sample code which in Finite Difference Time Domain Method for Electromagnetics. - Kunz K.S., Luebbers R.J. book was translated to matlab code. For movie, a little bit code must be added into it. Especially it needs to vectorize for electric field updates.
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FDTD is Finite Difference Time Domain method,but due to truncated it it will cause the reflectional on its boundary that will cause unnecessary noise to our simulation domain. So minimizing this unwanted signal we use PML(Perfectly Matched Layer)which can absorb this unwanted signal and so there...
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Like the finite difference method, the Taylor Series Least Squares method can be used to estimate derivatives. The TLS technique can be used to estimate derivatives from scattered or unstructured data. The Hermite Taylor Series Least Squares technique augments the TLS approach with information...
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The code computes the exact eigenpairs of (1-3)D negative Laplacian on a rectangular finite-difference grid for combinations of Dirichlet, Neumann, and Periodic boundary conditions using explicit formulas fromhttp://en.wikipedia.org/wiki/Eigenvalues_a...cond_derivativeThe code can also compute...
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Meep (or MEEP) is a free finite-difference time-domain (FDTD) simulation software. Meep FDTD is a free finite-difference time-domain (FDTD) simulation software package developed at MIT to model electromagnetic systems, along with our MPB eigenmode package. Here are some key features of "Meep...
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Simulation of a gaussian pulse propagated in free space through 1000 um, using finite differences.Just run the script and you'll get a surface which is made up of the pulse propagated at 1 um steps.
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Global tsunami can be started with asteroid impact or earthquake or thermonuclear bomb. It simulated with 2d wave equation. It is wave equation on sphere surface. Land influence neglected. triangular mesh used. The method is some kind of finite difference method. See fromulas in laplacian.jpg...
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Study of heat transfer and temperature of a 1x1 metal plateheat is dissipated through the left right and bottom sides and emp at infinity is t n(n-1) points in consideration,Temperature at top end is 500*sin(((i-1)*pi)/(n-1)A*Temp=U where A is coefficient matrix and u is constant matrixfinite...
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Introduction----------------This code simulates commodity spot prices using the Clewlow and Strickland one factor daily spot model using a Monte Carlo approach. The derived stochastic differential equations (SDEs) are solved using several finite difference schemes.The paper detailing the...
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