An algorithm for solving the pulsar equation

Details An algorithm for solving the pulsar equation An algorithm for solving the pulsar equation

2006-05-20

arxiv.org/abs/astro-ph/0605514v2

Astrophys.SpaceSci.309:231-234,2007

Astronomy and Astrophysics

Astrophysics

4 pages, 4 figures, accepted for publication in ApSS (a shortened version of the previous one)

Scientific paper

10.1007/s10509-007-9406-y

We present an algorithm of finding numerical solutions of pulsar equation. The problem of finding the solutions was reduced to finding expansion coefficients of the source term of the equation in a base of orthogo- nal functions defined on the unit interval by minimizing a multi-variable mismatch function defined on the light cylinder. We applied the algorithm to Scharlemann & Wagoner boundary conditions by which a smooth solu- tion is reconstructed that by construction passes success- fully the Gruzinov's test of the source function exponent.

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