Numerical Methods of Abel Inversion
SHAO Huaa, ZHU Dan-pingb, WU Yi-xiong a,b (a.Welding & Eng. Inst.; b.The State Key Lab. of MMC, Shanghai Jiaotong Univ., Shanghai 200030, China)
According to the Abel inversion in the analysis of arc plasma temperature field, three numerical solutions were put forward: cubic spline interpolation method, Radon inversion method and curve fitting method on dispersed data table. Properties of these methods were analyzed through validating the single apex function. Precision, realization of program and the solution of integral singularity of these three methods were discussed. It is proved that these methods have their own advantages on different cases in the analyzing and calculating of actual temperature field.
【CateGory Index】： O536