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In this video, we will study the Numerical Solution of Parabolic Partial Differential Equations, with special focus on the Heat Equation. Parabolic PDEs are used to model time-dependent processes such as heat conduction, diffusion, and mass transfer in engineering and applied sciences. The Heat Equation is one of the most important parabolic equations and plays a key role in understanding transient systems, where the solution changes with both space and time. We will discuss: ✔️ What is a Parabolic Partial Differential Equation? ✔️ Mathematical form of the Heat Equation ✔️ Physical interpretation of the heat/diffusion process ✔️ Role of initial and boundary conditions ✔️ Basic idea of numerical solution techniques ✔️ Applications of the Heat Equation in engineering and science This lecture is specially designed for Engineering, Mathematics, Physics, and Computer Science students studying Numerical Methods and Partial Differential Equations (PDEs). All concepts are explained in Hindi/Urdu with clear explanations to build strong fundamentals. 📚 Channel: Hassaan Ghazi Mathematics 💡 Subscribe and turn on the bell icon to keep learning Numerical Methods, PDEs, and Engineering Mathematics in Hindi/Urdu, step by step. #ParabolicPDE #HeatEquation #NumericalMethods #PartialDifferentialEquations #NumericalAnalysis #EngineeringMathematics #HassaanGhaziMathematics #MathematicsHindiUrdu #HeatConduction #DiffusionEquation #MathForEngineers #StudyWithMe