A Regularized Approach for Solving Magnetic Differential Equations and a Revised Iterative Equilibrium AlgorithmperHudson, S. R.USDOEorgUnited States. Department of Energy.USDOE Office of Science (SC)orgUnited States. Department of Energy. Office of Science.Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)Princeton, New JerseyPrinceton University. Plasma Physics Laboratory.2010-10-13engA method for approximately solving magnetic differential equations is described. The approach is to include a small diffusion term to the equation, which regularizes the linear operator to be inverted. The extra term allows a "source-correction" term to be defned, which is generally required in order to satisfy the solvability conditions. The approach is described in the context of computing the pressure and parallel currents in the iterative approach for computing magnetohydrodynamic equilibria. __________________________________________________202KbDifferential EquationsDiffusionChaos, Computational Physics Magnetohydrodynamics (Mhd)70 Plasma Physics And Fusion TechnologyMathematical Solutions Chaos, Computational Physics Magnetohydrodynamics (Mhd)AlgorithmsMagnetohydrodynamics