Скачать или смотреть Elliptic PDE & Laplace Equation | Numerical Solution in Hindi/Urdu | Hassaan Ghazi Mathematics

In this video, we will learn the Numerical Solution of Partial Differential Equations (PDEs), covering the three major types of differential equations used in engineering, physics, and applied mathematics:

🔹 Elliptic PDEs:

Laplace Equation
Poisson Equation
Applications in steady-state heat conduction & electrostatics

🔹 Parabolic PDEs:

Heat / Diffusion Equation
Time-dependent problems and transient systems

🔹 Hyperbolic PDEs:

Wave Equation
Vibrations, signals & wave propagation problems

We will discuss:
✔️ Classification of PDEs (Elliptic, Parabolic, Hyperbolic)
✔️ Difference between Laplace & Poisson equations
✔️ Role of boundary and initial conditions
✔️ Numerical approaches (Finite Difference, Iterative & Matrix-based methods)
✔️ How PDEs appear in real engineering problems

This lecture is perfect for Engineering, Mathematics, Physics, and Computer Science students studying Numerical Methods & PDEs. The explanation is given in Hindi/Urdu with step-by-step clarity for better understanding.

📚 Channel: Hassaan Ghazi Mathematics
💡 Subscribe for more videos on Numerical Methods, FEM, PDEs, and Engineering Mathematics in Hindi/Urdu — step by step and easy to understand!


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