LdeApprox - approximation methods for Maple

The LdeApprox package is powerful Maple toolbox which allows you to find analytical polynomial approximation for
solutions of initial and boundary value problems
with symbolic conditions on symbolic approximation interval with singular regular points. The methods applied are numerically - analytical (a-methods by V. K. Dzyadyk).

It means that LDE coefficients, boundary or initial conditions and interval of the approximation can be either symbolical or numerical expressions.

These methods can be applied to find

-approximation of some functions with parameters on symbolic approximation interval

-approximate polynomial for solution of initial value problems (IVP)

-approximate polynomial for solution of boundary value problems (BVP)

-approximate polynomial for solution of LDE with regular singular points (RSP)


The methods give asymptotically best approximation in Chebyshev metric.