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Question: Solving system of Pdes

Question:Solving system of Pdes

student_1 305 Maple
July 08 2017
0

Hello,

How can we write a code for solving following system of Pdes ?

restart;
PDE1:=m1*diff(w1(x,t),t$2)-S1*diff(w1(x,t),x$2)+k*(w1(x,t)-w2(x,t))=F1(t)*delta(x-x1);
PDE2:=m2*diff(w2(x,t),t$2)-S2*diff(w2(x,t),x$2)+k*(w2(x,t)-w1(x,t))=F2(t)*delta(x-x2);

In here,  Ki, mi, xi and k are constants where i=1,2.

Since F1(t) and F2(t) are unspecified (ungiven) functions, solutions u1,u2 which we seek, will be depended on  F1(t) and F2(t). 

 

Thanks for your valuable and praiseworthy suggestions and comments.
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