Accession Number:

AD0784394

Title:

Numerical Calculation of Non-Unique Solutions of a 2D Sinh-Poisson Equation.

Descriptive Note:

Interim rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

Report Date:

1974-07-01

Pagination or Media Count:

22.0

Abstract:

The author gives a method for computing non-trivial solutions to the nonlinear partial differential equation del squaredpsi lambda squared sinh psi O, with psi O on a square boundary. The method consists of a Newton-Raphson iteration, in which successive corrections to psi must satisfy a linearized partial differential equation. The author gives a direct solution algorithm for the linearized equation, which is suitable for small meshes. Using this method, the author establishes the non-uniqueness of solutions by finding six solutions for the same value of lambda. Calculation of these solutions required from 4 to about 40 iterations each, depending upon the accuracy of the initial approximation. Modified author abstract

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE