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Doubt in coding a systems of ODEs with bvp4

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T S Singh
T S Singh 2017년 12월 17일
댓글: T S Singh 2017년 12월 18일
I have a coupled ODE in terms of two variables x and y, x''''=A*x+B*y+C*y''''; y''''=D*y+E*x+F*x''''; Given with 8 boundary conditions. How will I write the function to expressed the systems of coupled ODEs to use for 'bvp4' ??? As the some of the coupling terms contains the highest derivative of the two dependent variables (i.e. y'''' in equation of x and x'''' in the equation of y)???

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Torsten
Torsten 2017년 12월 18일
x''''=A*x+B*y+C*(D*y+E*x+F*x'''') -> x''''=((A+C*E)*x+(B+C*D)*y)/(1-C*F)
y''''=D*y+E*x+F*(A*x+B*y+C*y'''') -> y''''=((E+A*F)*x+(D+B*F)*y)/(1-C*F)
Best wishes
Torsten.
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T S Singh
T S Singh 2017년 12월 18일
Thanks Torsten, How did I miss this :-)

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