MATLAB Function Reference    

Form the initial guess for bvp4c



solinit = bvpinit(x,v) forms the initial guess for bvp4c in common circumstances.

x is a vector that specifies an initial mesh. If you want to solve the boundary value problem (BVP) on , then specify x(1) as and x(end) as . The function bvp4c adapts this mesh to the solution, so often a guess like x = linspace(a,b,10) suffices. However, in difficult cases, you must place mesh points where the solution changes rapidly. The entries of x must be ordered and distinct, so if , then x(1) < x(2) < ... < x(end), and similarly for .

v is a guess for the solution. It can be either a vector, or a function:

solinit = bvpinit(x,v,parameters) indicates that the BVP involves unknown parameters. Use the vector parameters to provide a guess for all unknown parameters.

solinit is a structure with the following fields. The structure can have any name, but the fields must be named x, y, and parameters.

Ordered nodes of the initial mesh.
Initial guess for the solution with solinit.y(:,i) a guess for the solution at the node solinit.x(i).
Optional. A vector that provides an initial guess for unknown parameters.

solinit = bvpinit(sol,[anew bnew]) forms an initial guess on the interval [anew bnew] from a solution sol on an interval . The new interval must be larger than the previous one, so either anew <= a < b <= bnew or anew >= a > b >= bnew. The solution sol is extrapolated to the new interval. If sol contains parameters, they are copied to solinit.

solinit = bvpinit(sol,[anew bnew],parameters) forms solinit as described above, but uses parameters as a guess for unknown parameters in solinit.

See Also

@ (function_handle), bvp4c, bvpget, bvpset, deval

  bvpget bvpset