OICC Press Mathematical Sciences 2251-7456 17 2 (June 2023) 2021 11 21 Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method 10.1007/s40096-021-00447-9 EN Sh. Taherkhani Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, IR I. Najafi Khalilsaraye Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, IR B. Ghayebi Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, IR Journal Article 2021 11 21 Abstract A numerical method for the diffusion problem with the fractional derivative of distributed order arising in modeling real life phenomena is investigated. The approximation is based on the Sinc-collocation method. We proposed the Sinc-collocation method in both spatial and temporal discretizations of the problem. The fractional derivatives in this article are of the Caputo type. Also, we proved the convergence of the introduced method and an error estimate for it. We have shown the efficiency of the introduced method with the help of several examples. The obtained numerical results confirm the presented convergence analysis.