Unified Process Applied to the Implementation of the Finite Difference Time Domain Method in Python through Object Oriented ProgrammingValencia, F. R.Arcos, H. N.Revista Técnica Energía
( n, n ) ) # The next loop fill in the matrix xx = x0 for j in range( n ): xx0 = xx[j] # Store old value xx[j] = xx0 + epsilon # Perturb with finite difference # Recalculate the partial derivatives for this new point f2 = optimize.approx_fprime( xx, func, epsilon=...
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A staggered grid finite difference method for solving the elastic wave equations. 2017. J. Phys.: Conf. Ser. 909 012047. Appendix: Python code for Example 1 and 2. # Staggered finite difference method for acoustic wave. # u_t - v_x = 0, v_t - u_x = 0, in [-L,L] # u(-...
Modeling heat diffusion with the finite difference method for PDE's in an idealized chicken panini, created in a group of 2 for a second-year computing project. Awarded an A+ (87.5%). Topics python pde panini finite-difference-method heatmap-visualization heat-diffusion-modelling Resources Re...
GMES which stands for GIST Maxwell's Equations Solver is a Python package for a Finite-Difference Time-Domain (FDTD) simulation. The FDTD method widely used for electromagnetic simulations is an algorithm to solve the Maxwell's equations. GMES follows Object-Oriented Programming (OOP) paradigm for...
It begins with a theoretical discussion on partial differential equations (PDE) and then explains the finite difference method in detail. After which the FDM is applied to a one-factor Black-Scholes problem. Subsequently, the FDM is extended to multidimensional models and then multi-factor models....
Meep is a free and open-source software package for electromagnetics simulation via the finite-difference time-domain (FDTD) method spanning a broad range of applications. Key Features Free and open-source software under the GNU GPL. Complete scriptability via Python, Scheme, or C++ APIs. Simulat...
(3.1). Two examples are provided to illustrate the accuracy and efficiency of the method concerning the following error norms, similar to those computed in Ref. 12. 1. Absolute Error: The Absolute Error is the difference between the exact value and the approximate value of a function. It is...
In this work, the finite-difference method to incorporate a fictitious point technique was developed for 2.5D direct-current resistivity modeling, which is different to the traditional finite-difference numerical method without a fictitious point scheme. The time consumption for solving the finite-differ...