How to solve a boundary value problem (differential equations) which contains dependent variable values at the boundary??? The equation is like a integro-differential equation.
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(-iy+y'''')=(A+Bx)y'''(0)+(C+Dx)y''(0)
- Here A,B,C and D are constants.
- y'''(0) are the dependent variable 3rd order derivative at x=0.
- Like wise y''(0) is the 2nd oder derivative of y at x=0
- BCs y(0)=0, y'(0)=1, y''(1)=0 and y'''(1)=0
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Torsten
le 12 Avr 2017
Modifié(e) : Torsten
le 12 Avr 2017
Try "dsolve" on the problem
(-iy+y'''')=(A+Bx)*C2+(C+Dx)*C1
with boundary conditions
y(0)=0, y'(0)=1, y''(1)=0, y'''(1)=0, y''(0)=C1, y'''(0)=C2.
Best wishes
Torsten.
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Torsten
le 12 Avr 2017
Since there is no integral involved in the differential equation, I don't see an obvious relation to integro-differential equations. But I might be wrong.
Best wishes
Torsten.
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