Elliptic PDE & Laplace Equation | Numerical Solution in Hindi/Urdu | Hassaan Ghazi Mathematics скачать в хорошем качестве

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