I want to convert few equations into matrix form >>>>>>

조회 수: 2 (최근 30일)
Rahul Jangid
Rahul Jangid 2022년 11월 24일
답변: Walter Roberson 2023년 9월 10일
Can some one help me to convert those equations into matrix form
Where the form of matrix is as A*X = B where X = [diff(x1(t), t, t); diff(x2(t), t, t); x1d; x2d; x1; x2]
the equations are as shown below:
m1*diff(x1(t), t, t) + c1*x1d + k1*x1 + (c2*(2*x1d - 2*x2d))/2 + (k2*(2*x1 - 2*x2))/2 == 0
m2*diff(x2(t), t, t) - (c2*(2*x1d - 2*x2d))/2 - (k2*(2*x1 - 2*x2))/2 == 0
  댓글 수: 4
Dyuman Joshi
Dyuman Joshi 2022년 11월 25일
편집: Dyuman Joshi 2022년 11월 25일
Automatically? Meaning with a code?
You can use collect. Other than that, I think it's highly unlikely you can do it 'automatically'
Rahul Jangid
Rahul Jangid 2022년 11월 28일
yeah i want to do it using code bcz the actual problem i am solving have very complex and around 12 variables.

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답변 (2개)

Mann Baidi
Mann Baidi 2023년 9월 10일
Hi Rahul,
I understand you would like to convert variable equation into a matrix form. Currently, MathWorks don’t have a function for this. You would have to make the matrix manually. For more information, you can refer to the following answer.
Thanks!

Walter Roberson
Walter Roberson 2023년 9월 10일
I recommend that you examine the work-flow of the first example of odeFunction as that shows converting orders and gathering terms and building mass matrix, and generating anonymous functions for use with routines such as ode45()

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