Matlab Simulation Package for Ab-initio Real-space Calculations

Solve the 1D forced Burgers equation with high order finite elements and finite difference schemes.

A simple computer program for calculating stress and strain rate in 2D viscous inclusion-matrix systems

Some basic self-learning code in optical computation.

Algebraic and Elliptic PDE based structured grid generation methods

This is a model I build during my undergraduate research at CPN at Lehigh University. The model is used to simulate for GaN/InGaN QW of bandedge energy, energy states, wave functions, etc. with Schrodinger - Poisson consistent equations.

MATLAB codes that generate finite difference matrix for uniform grid.

Using Finite Element and Finite Difference Methods to Price European Options

A numeric solution for the steady-state heat equation using different methods.

Implementations of various Algorithms used in Numerical Analysis, from root-finding up to gradient descent and numerically solving PDEs.

Tsunami modeling using finite difference method Explicit/Implicit Linear/Non-linear 1D/2D

CFD solution of quasi-1D nozzle flows using finite difference approach

This MATLAB script models the heat transfer from a cylinder exposed to a fluid. I used Finite Difference (Explicit) for cylindrical coordinates in order to derive formulas. Temperature matrix of the cylinder is plotted for all time steps. Three points are of interest: T(0,0,t), T(r0,0,t), T(0,L,t). Finally, a video of changing temp is generated.

this code uses Finite Difference Method to solve the function: sin(x) * exp(-t)

APPM 4660 Intermediate Numerical Analysis II final project [Spring 2021].

A simple example of a parabolic (or diffusion) partial differential equation with one spatial independent variable is solved by Finite Difference Method

the diffusive prey-predator model is solved using the Finite Difference Method. the research article referred to is mentioned here.

Codes for the paper "Optimal actuator design via Brunovsky's normal form".

A finite difference code to compute compressible flow around an ellipse in MATLAB

in this repository, we learn about the paper titled "bifurcation analysis of a predator-prey system with self-and cross-diffusion and constant harvesting rate". we calculate equilibrium points and we try to plot the graph through FDM