Homogeneous BVP example of the AnalyticalApproximations`LdeApprox` package Copyright © 2004-2016 DigiArea, Inc. All rights reserved. Description: This loads the package.
This is simple homogenious BVP:
Using ApproxSol function to find 3-rd degree symbolic polynomial approximation of solutions of the BVP (Exact option is True by default).
Using ApproxSol function to find 5-th degree numeric polynomial approximation of solutions of the BVP (Exact -> False). As corresponding eigenvalue variable is not specified then it is determined automatically. Only 6 values of eigenvalue variable are available for 5-degree approximation.
One has to normalize the result to compare it with the exact solution.
The exact solution is as follows.
This is the normalized form of the exact solution.
Now one can compare the results. For λ = 1
For λ = 4
Note: |