Wolfram Language

Find a Frobenius Approximation (AsymptoticDSolveValue)

A linear ordinary differential equation can be approximated by a Frobenius series near a regular singular point for the equation. This example shows how to obtain such an approximation using AsymptoticDSolveValue.

Solve Bessel's equation of order around the regular singular point .

Plot the two components of the general solution. One branch of the solution in this case exhibits a singular behavior near the origin.

The Frobenius solution may include logarithmic terms, as illustrated in the following.

The asymptotic approximation happens to be an exact solution in this case.

Related Examples

de es fr ja pt-br zh