- #1
amr07
- 6
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Dear all,
I have system(4 equations) of BVPs. Could anybody recommend me, how to solve this system(whatever numericaly or analytical):
x'=-y/sqrt(x^2+y^2) + u
y'=x/sqrt(x^2+y^2) + v
u' = -xy/(x^2+y^2)^3/2 u - [1/sqrt(x^2+y^2) - x^2 /(x^2+y^2)^3/2] v
v' = xy/(x^2+y^2)^3/2 v - [-1/sqrt(x^2+y^2) + y^2 /(x^2+y^2)^3/2] u
and we have only boundary condations for x and y...x(0)=y(0)=-1, x(pi/2)=y(pi/2)=1
thanks
I have system(4 equations) of BVPs. Could anybody recommend me, how to solve this system(whatever numericaly or analytical):
x'=-y/sqrt(x^2+y^2) + u
y'=x/sqrt(x^2+y^2) + v
u' = -xy/(x^2+y^2)^3/2 u - [1/sqrt(x^2+y^2) - x^2 /(x^2+y^2)^3/2] v
v' = xy/(x^2+y^2)^3/2 v - [-1/sqrt(x^2+y^2) + y^2 /(x^2+y^2)^3/2] u
and we have only boundary condations for x and y...x(0)=y(0)=-1, x(pi/2)=y(pi/2)=1
thanks
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