MATLAB: 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.

boundary value problemsintegro-differential equation

(-iy+y'''')=(A+Bx)y'''(0)+(C+Dx)y''(0)
  1. Here A,B,C and D are constants.
  2. y'''(0) are the dependent variable 3rd order derivative at x=0.
  3. Like wise y''(0) is the 2nd oder derivative of y at x=0
  4. BCs y(0)=0, y'(0)=1, y''(1)=0 and y'''(1)=0

Best Answer

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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