To address some of the failure modes in training of physics informed neural networks, a Lagrangian architecture is designed to conform to the direction of travel of information in convection-diffusion equations, i.e., method of characteristic; The repository includes a pytorch implementation of PINN and proposed LPINN with periodic boundary cond…

Control finite volume element method - problem solving

Applying the finite-difference method to the Convection Diffusion equation in python3. Examples included: One dimensional Heat equation, Transport equation, Fokker-Plank equation and some two dimensional examples.

This repository contains the MATLAB implementation of popular numerical methods in Computation Fluid dynamics. Starting from simple methods like Gauss Elimination, ADI method to advance methods like Rhie-chow interpolation, SIMPLE are implemented. This was done as a part of the CFD course offered at IIT Gandhinagar 2021.

Parallelization attempt to the “12 steps to Navier–Stokes” lessons using OpenMP/C

Air pollution forecasting with convection-diffusion model and LSTM

Various diffusion and convection-diffusion scalar transport problems are numerically solved using FVM.

Numerical Simulation of Convection-Diffusion Equation

Python code for 1D Steady State Convection Diffusion

FINITE VOLUME METHOD for convection-diffusion equation

Modelling pattern formation by numerical integration of systems of coupled convection-diffusion differential equations.

This codes develops a flow analyais using the convection-difussion theory. The code developed analaysi three differente main cases:

Finite element method codes to solve 1D Convection-Diffusion equation

Spectral and Pseudo-Spectral Method for Convection Diffusion equations with Symmetric Boundary Conditions

Se calcula varios LIS, soluciones de Campo de Fuerza, Convección-Difusión, semblanza entre la función de rendimiento atmosférico, manchas solares, campo magnético solar.

Method components (convection-diffusion residual, release-schedule optimizer) for PINN-based pulsatile flow and targeted drug delivery (J. Pharmacy and Bioallied Sciences, Dec 2025). Not a runnable pipeline — see Status.

Boundary layer enriched Hybrid DiscontinuousGalerkin Methods for Convection dominated flow

This thesis presents the numerical implementation and validation of self-developed computational solvers for 2D fluid flow and heat-transfer problems. The main objective is to build a progressive numerical framework capable of solving conduction, convection-diffusion and incompressible Navier-Stokes problems using Python.

1D Steady State Convection Diffusion Problem solving using Finite Volume Method (FVM), Numerical method in MATLAB

Numerical Modelling assignment on convection-diffusion equation.