Khan academy finite element method

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. About About this video Transcript.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Linear algebra. Unit 1. Unit 2. Unit 3.

Khan academy finite element method

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Modeling situations with differential equations. About About this video Transcript. Differential equations are equations that relate a function with one or more of its derivatives. This means their solution is a function! Learn more in this video. Want to join the conversation? Log in. Sort by: Top Voted. Posted 9 years ago. At Downvote Button navigates to signup page.

Want to join the conversation? So let me write this as maybe an algebraic equation that you're familiar with.

Personalise your OpenLearn profile, save your favourite content and get recognition for your learning. Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available. The basic principles underlying the FEM are relatively simple. Consider a body or engineering component through which the distribution of a field variable, e.

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Khan academy finite element method

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Equivalent systems of equations and the elimination method. About About this video Transcript. An old video where Sal introduces the elimination method for systems of linear equations.

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Differential equations are equations that relate a function with one or more of its derivatives. Neither is a prerequisite to the other. I suggest you try to do these problems without looking at the solutions first : Hope this helps you in some way. Step 5 — Building and solving the FEA model. What would a solution to something like any of these three, which really represent the same thing, what would a solution actually look like? Thomas B. So this formula right over here, this expression it worked for 1, so we have proved our base case. Now let's make that a little more tangible. What does the second derivative mean? And that there is often more than one solution. And now we could just substitute these values into the differential equation, or these expressions into the differential equation to verify that this is indeed going to be true for this function. And I encourage you to pause the video again and verify that it's a solution.

The finite element method FEM is a powerful technique originally developed for numerical solution of complex problems in structural mechanics , and it remains the method of choice for complex systems.

Some may be imaginary, some may be real. Now at this step right over here you can factor out a k plus 1. I suggest you try to do these problems without looking at the solutions first : Hope this helps you in some way. And as we'll see, differential equations are super useful for modeling and simulating phenomena and understanding how they operate. And that there is often more than one solution. So the second derivative is going to be e to the x plus two times e to the x is indeed going to be equal to three times e to the x. So it's going to be minus six, I'll just write plus negative six e to the negative three x. So we get 2 checked. Neither is a prerequisite to the other. So you would know what I'm doing. So let me write that down.