Elliptic PDE (Poisson Equation) | Numerical Solution in Hindi/Urdu | Hassaan Ghazi Mathematics

In this video, we will study the Numerical Solution of Elliptic Partial Differential Equations, with special focus on the Poisson Equation. The Poisson equation is one of the most important elliptic PDEs and appears frequently in engineering, physics, and applied mathematics problems.

Unlike the Laplace equation, the Poisson equation includes a source term, making it more general and widely applicable in real-world problems such as electrostatics, heat generation, fluid flow, and potential theory.

We will discuss:
✔️ What is an elliptic partial differential equation?
✔️ Mathematical form of the Poisson Equation
✔️ Difference between Laplace and Poisson equations
✔️ Role of boundary conditions in elliptic PDEs
✔️ Numerical approach for solving Poisson equation (Finite Difference / Iterative idea)
✔️ Engineering and physical applications

This lecture is specially designed for Engineering, Mathematics, Physics, and Computer Science students studying Numerical Methods and Partial Differential Equations (PDEs). The explanation is provided in Hindi/Urdu with clear concepts and step-by-step discussion.

📚 Channel: Hassaan Ghazi Mathematics
💡 Subscribe to the channel and turn on the bell icon to continue learning Numerical Methods, PDEs, and Engineering Mathematics in Hindi/Urdu — made simple and clear.

#PartialDifferentialEquations #PDEs #NumericalMethods #PDEClassification #LaplaceEquation #PoissonEquation #HeatEquation #WaveEquation #EngineeringMathematics #HassaanGhaziMathematics #MathematicsHindiUrdu #NumericalAnalysis #MathForEngineers

Видео Elliptic PDE (Poisson Equation) | Numerical Solution in Hindi/Urdu | Hassaan Ghazi Mathematics канала Hassan Ghazi Mathematics