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

In this video, the Numerical solution for the two-dimensional heat equation that is the Laplace equation 𝒖_𝒙𝒙+𝒖_𝒚𝒚=𝟎 is solved for 9 mesh squares in 4 equations with 4 unknowns in detail. #DrPrashantPatil#LaplaceEquation#NumericalMethods#Lecture13 For more videos and playlist of Engineering Mathematics go through the playlists 1)18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES: 1) Laplace Transforms [18MAT31-Module 01]:    • Laplace Transforms   2) Inverse Laplace Transform [18MAT31-Module 01]:    • Inverse Laplace Transform || Dr Prashant P...   3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil    • Fourier Series | 18mat31 | Module 02 | Dr ...   3) Fourier Transforms | 18mat31 | Module 03 | Dr Prashant Patil    • Fourier Transforms | 18mat31 | Module 03 |...   4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil    • Numerical Methods for ODE | Module 04 & 05...   5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil    • Calculus of Variations | 18mat31 | Module ...   2)18MAT21- Advanced Calculus and Numerical Techniques: 1) Vector Calculus [18MAT21-Module 01]:    • Vector Calculus || BMATE201   2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]:    • Ordinary Differential Equation of Higher o...   3) Partial Differential Equations [18MAT21-Module 03]:    • Partial Differential Equations | 18matdip4...   4) Infinite Series [18MAT21-Module 04]:    • Infinite Series [18MAT21-Module 04]   3) 18MAT41- Complex Analysis, Probability and Statistical Methods: 1) Conformal Transformations[18MAT41-Module 02]    • Conformal Transformations || 18MAT41 || Dr...   2) Complex Integration[18MAT41-Module 02]    • Complex Integration || 18MAT41 ||  Dr Pras...   3) Probability Distributions[18MAT41-Module 03]    • Probability Distributions[18MAT41-Module 03]   4) Joint Probability Distribution and Sampling [18MAT41-Module 05]    • Joint Probability Distribution and Samplin...   4)18MATDIP41- Additional Mathematics II: 1) Probability[18MATDIP41-Module05]    • 18MATDIP41 | Additional Mathematics II | P...