University of GuilanJournal of Mathematical Modeling2345-394X10120220101Numerical solution of DGLAP equations by the Tau spectral method119127489710.22124/jmm.2021.19095.1641ENSomayehZangoei ZadehDepartment of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, IranAzimRivazDepartment of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, IranNazaninMahmoodi KhoDepartment of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20210313In this paper, a special kind of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations is introduced. Since it is not possible to solve DGLAP integral equations analytically, the numerical solutions of these equations can be of interest. Here, the Tau spectral method is used for solving this integral equation and offer an approximate solution. Finally, this solution is compared with solution obtained experimentally for $Q_0^2=0.35 GeV^2$.https://jmm.guilan.ac.ir/article_4897_b0915fc25114eca3fbf68561dce93c6b.pdf