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Numerical Solution of One Dimensional Heat Equation - Part 5 | Bender Schmidt Explicit
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In this video, we'll explore how to solve the one-dimensional heat equation using the Bender-Schmidt explicit method. This numerical method is commonly used in engineering mathematics to approximate solutions to partial differential equations like the heat equation.
We'll start by introducing the one-dimensional heat equation and discussing its physical significance in heat transfer problems. Then, we'll dive into the Bender-Schmidt explicit method and show you how to implement it in MATLAB or any other programming language.
We'll provide step-by-step examples and explain how the method works in practice. You'll learn how to discretize the domain, derive the finite difference equations, and solve the resulting system of equations using the explicit method.
By the end of the video, you'll have a clear understanding of how to solve the one-dimensional heat equation using the Bender-Schmidt explicit method. You'll also learn how to interpret the results and analyze the accuracy of the numerical solution.
So, if you're an engineering student or a practicing engineer looking to solve heat transfer problems, watch this tutorial and learn how to use the Bender-Schmidt explicit method to obtain accurate numerical solutions to the 1D heat equation.
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We'll start by introducing the one-dimensional heat equation and discussing its physical significance in heat transfer problems. Then, we'll dive into the Bender-Schmidt explicit method and show you how to implement it in MATLAB or any other programming language.
We'll provide step-by-step examples and explain how the method works in practice. You'll learn how to discretize the domain, derive the finite difference equations, and solve the resulting system of equations using the explicit method.
By the end of the video, you'll have a clear understanding of how to solve the one-dimensional heat equation using the Bender-Schmidt explicit method. You'll also learn how to interpret the results and analyze the accuracy of the numerical solution.
So, if you're an engineering student or a practicing engineer looking to solve heat transfer problems, watch this tutorial and learn how to use the Bender-Schmidt explicit method to obtain accurate numerical solutions to the 1D heat equation.
[ 📐 Watch Next ]
[21MAT31] Numerical Solution of One Dimensional Heat Equation
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[21MAT31] - Engineering Mathematics 3
#vtu #21mat31 #module4 #engineeringmathematics3 #NumericalSolution #pde #examples #mathematicstutor
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