Unformatted text preview: y ( x ) for x > 0 and discuss its dependence on p (the boundary condition to use for large x depends on p ). 4 (Kevorkian & Cole 4.3.5) Solve the boundary-value problem y 00 + y-ε y 2 = , y ( , ε ) = , y ( ε-1 , ε ) = 1 , < ε ± 1 using (i) the method of multiple scales and (ii) boundary layer theory. Compare the two solutions. 1...
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- Winter '08
- Boundary value problem, Boundary conditions, Boundary Layer Theory, Kevorkian, Applied Mechanics, uniformly valid solution