University of Guilan Journal of Mathematical Modeling 2345-394X 10 1 2022 01 01 Numerical solution of DGLAP equations by the Tau spectral method 119 127 4897 10.22124/jmm.2021.19095.1641 EN Somayeh Zangoei Zadeh Department of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran Azim Rivaz Department of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran Nazanin Mahmoodi Kho Department of Applied Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran Journal Article 2021 03 13 In 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