Fast solution of the superconducting dynamo benchmark problem

A model of high temperature superconducting dynamo, a promising type flux pumps capable wireless injection large DC current into circuit, has recently been chosen as an applied superconductivity benchmark problem and solved using ten different numerical methods (Ainslie et al 2020 Supercond. Sci. Technol. 33 105009). Using expansions in Chebyshev polynomials for approximation space the method lines integration time we derive simple accurate which is much faster. The proposed was also to problems with transport field-dependent sheet critical density.