This repository features MATLAB projects using Finite Difference Methods to solve Laplace's equation and Maxwell's equations. It includes a 2D Laplace's Equation Solver and a 1D FDTD Simulation with ...
These codes implement the numerical method of Finite Difference method to solve Heat PDE and Black-Scholes PDE. Specificly, the code for Black-Scholes PDE aims to price vanilla options such as ...
Abstract: A set of two-dimensional (2D) electromagnetic (EM) MATLAB codes, using both first-order coupled differential (Maxwell) equations and second-order decoupled (wave) equations, are developed ...
In this paper, a numerical technique is proposed to obtain the solution for transient heat conduction equation of Copper. The copper element is characterized by many characteristics; the most ...
Abstract: A set of two-dimensional (2D) electromagnetic (EM) MATLAB codes, using both first-order coupled differential (Maxwell) equations and second-order decoupled (wave) equations, are developed ...
ABSTRACT: In this paper we consider the numerical method of characteristics for the numerical solution of initial value problems (IVPs) for quasilinear hyperbolic Partial Differential Equations, as ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...