Numerical Solution of 2D Laplace equation using FDM and Inverse Matrix Technique

Показать описание

In this video I solved 2D Laplace equation in cartesian coordinates using finite difference method and I used inverse matrix technique. I explained the theory and algorithms that is needed to write a code. Finally I wrote a code in MATLAB and implemented the algorithm, and compared analytical solution and numerical results.

Рекомендации по теме

Комментарии

Great videos on these topics I have ever found on youtube. Keep updating new videos please and you did a really good job.

maryammohammadpour

The two methods that you presented in step-by-step manner were easy to understand. Excellent videos indeed. Hope to see more great videos on numerical simulations using MATLAB. All the best in your thesis bro and good luck.

hekarluzir

its not just laplace ..its u that help me to do it ..

priyeshpandey

What if our boundary conditions are inside the mesh grid? Do we have to modify the code?

throine

Which one is better? Iterative or inverse matrix ? I guess depending on the stability and the problem of interest? Thanks!

weibinchen

I am working on phase field model for concrete. My professor has done all the coding for implementing it. I will be greatful if you make a video on finite element implementation of phase field model using iterative technique.

ghufranullahkhan

Excellent video
Please I need help to result a diffusion-convection equation using a 2D grid with FORTRAN

nihedtsouli

Thank your for this course. Very helpful. In order to speed up the solution of 2D Laplace equation, is there any other faster method than FDM? Can we use POD-Galerkin method to Laplace equation?

cheikhbrahimabed

how can i right in code if my right boundary condition is if x tends to infinity then V=0?

shadowmonarch

Many thanks, Abolfazl for your great video, I just have a short question, in the Neumann BC how do we define the corners?

muhammadaslanimoghanloo

Thanks so much sir for this great video.
But my problem is;
how do I implement the Neumann boundary conditions on one, two or three sides of the Laplace equation using finite difference method?

ndukamoses

hey dear abo fazl
I am waiting for new videos

ahmedzaki

Merci monsieur pour toutes ces informations. je suis à la recherche la résolution équation de chaleur par méthode éléments finis et différence finie. De la même manière d'explication.😊

fatitraka

sir for working on matlab which laptop should be good..?

vishalchhabra

Numerical Solution of 2D Laplace equation using FDM and Inverse Matrix Technique

Numerical Solution of 2D Laplace equation using Finite Difference Method (Iterative Technique )

Numerical Solution of 2D Laplace equation using FDM and Inverse Matrix Technique

Analytical solution of 2D Laplace equation

On the Numerical Solution for Two Dimensional Laplace Equation with Initial Boundary ... | RTCL.TV

Solution of 2D Laplace Equation using Separation of Variables Method

2D Laplace Equation using Finite Differences

Numerical solution of Partial Differential Equations

MIT Numerical Methods for PDE Lecture 3: Finite Difference for 2D Poisson's equation

Solving the 2D Laplace PDE using Separation of Variables

CMPSC/Math 451. April 22, 2015. Laplace Equation in 2D. Finite Difference Method. Wen Shen

Lecture -- Numerical Solution of Laplace's Equation

Laplace equation l The heat equation l The wave equation #physics #thermodynamics #laplace_transform

Lecture 13 02 Elliptic PDEs - Finite difference method

Finite Differences

Numerical Solution of Laplace Equation for 16 Mesh squares || Numerical Methods || Dr Prashant Patil

Numerical Method Elliptic Equations- Solution of Laplace's Equation by Liebmann's iteratio...

Python Implementation of Laplace's Equation (2D) # Python Implementation# Jacobi Method# PDE

Partial Differential Equation | Finite Difference Solution of 2D Laplace Equation | #25

Liebmann's Iteration Process | Elliptic Equation | Solution of Laplace equation | Problem in Ta...

Numerical solution of Partial Differential Equations

Numerical Solution of Partial Differential Equations(PDE) Using Finite Difference Method(FDM)

Solution of Laplace Equation with 9 mesh squares || Numerical Methoda || Dr Prashant Patil

Solution of Elliptic Equation - Part 1 | 16 Mesh Squares | Laplace Equation

CE 531 Mod 4.3 LaPlace Eq and 2D flow