LdeApprox - Polynomial Approximations (Mathematica package)

Maple and Mathematica packages - math tools for professionals

Functions analytical approximation:
- function can has arbitrary number of parameters
- function can be approximated on symbolic interval of the approximation
Initial value problems analytical approximation:
- LDE coefficients, initial conditions and interval of the approximation can be symbolical expressions
- LDE can have regular singular points (RSP) in the interval of the approximation
Boundary value problems analytical approximation:
- Homogeneous BVP and non homogeneous BVP
- Automatic definition of eigenvalue variable name for homogeneous BVP
- Exact mode for calculation of corresponding eigenvalues
- Normalization function presented for homogeneous BVP approximate solutions
- LDE coefficients, boundary conditions and interval of the approximation can be symbolical expressions
- LDE can have regular singular points (RSP) in the interval of the approximation
The methods are "fast saturated" and give asymptotically best approximation in Chebyshev metric
Automatic definition of problem type (BVP, IVP ...)
LDE with non-polynomial coefficients - non-polynomial example

	Simple example
	Numeric approximations
	Symbolic approximations
	Function approximations
	Regular singular points example
	Boundary value problem (BVP)
	Homogeneous BVP
	Non polynomial coefficients