Abstract: Concerning the Abel inversion in the analysis of arc plasma temperature field,three numerical methods are put forward.They are the cubic spline interpolation method,the Radon inversion method and the curve fitting method on dispersed data table.In validating the single apex and double apex functions,characteristics of these methods are analyzed.Precision,realization of program and the solution of integral singularity of these methods are discussed.It is shown that these methods have their own advantages in different cases in the calculating of actual temperature fields.

Key words: arc plasma, Abel inversion, cubic spline interpolation, Radon inversion, curve fitting