Differential and Integral System

2015 4 6
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更新时间：2015 4 7
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Can a system of differential and integral equations be solved in Matlab? I have the following system): y1'+a*(y1-y3)=0; y2'+b*(y2-y4)=0; intg(y1-y3) + c*y3- d*(y3*y4)=0; intg(y2-y4) + c*y4- e*(y3*y4)=0;

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Torsten
Torsten 2015-4-7

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Set
y5=intg(y1-y3)
y6=intg(y2-y4)
Then your system becomes
(1) y1'+a*(y1-y3)=0
(2) y2'+b*(y2-y4)=0
(3) y5 + c*y3- d*(y3*y4)=0
(4) y6 + c*y4- e*(y3*y4)=0
(5) y5'=y1-y3
(6) y6'=y2-y4
Use equations (3) and (4) to solve for y3 and y4.
Best wishes
Torsten.

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AMEYA T
AMEYA T 2015-4-7
Thanks for the answer. This scheme is good but, I will have to estimate the initial values of the new variables y5 and y6 for passing them as an argument to ODE solver, which I think is not possible unless one solves the system.
Torsten
Torsten 2015-4-7
The initial values of y5 and y6 are both equal to 0.
Best wishes
Torsten.

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