The steady, laminar, incompressible, viscous flow over a semi-infinite flat plate can be expressed by the following boundary value problem
${\partial u \over\partial x}+{\partial v\over\partial y}=0$
$u{\partial u \over\partial x}+v{\partial v\over\partial y}=v{\partial^2 u\over\partial y^2}$
with boundary conditions:
$u(x,0)=v(x,0)=0 ,u(x,\infty)=U_\infty $
Here, $u$ and $v$ are the velocity components along the flow direction ($x$-direction) and normal to the flow direction ($y$-direction), $v$ is the kinematic viscosity and $U_\infty$ is a constant free stream velocity.
how can I develope this in maple using gegenbauer function?
