One of the current challenges of clinical techniques for the destruction of cancer cells is to cauterize the desired area with the help of nanoparticles. In this study, the effect of graphene nanoparticles suspended in the blood is enhanced by applying an angled magnetic field and thermal radiation. The vessel is considered a porous medium, and its walls are modeled by peristaltic waves. Governing equations in the presence of Joule heating effects and viscous dissipation simplified and analytically solved by using of Optimal Collocation Method. The highest effect of nanoparticles' volumetric fraction on the temperature is obtained at? = 0.6%, and the lowest effect is seen at? = 0%. Also, the temperature profile rapidly decreases when the inclination angle increases from 0 to ?/2. Changing the Hartman number from 0(without magnetic field) to 3 (most magnetic field) leads to a growth of the temperature. One of the current challenges of clinical techniques for the destruction of cancer cells is to cauterize the desired area with the help of nanoparticles. In this study, the effect of graphene nanoparticles suspended in the blood is enhanced by applying an angled magnetic field and thermal radiation. The vessel is considered a porous medium, and its walls are modeled by peristaltic waves. Governing equations in the presence of Joule heating effects and viscous dissipation simplified and analytically solved by using of Optimal Collocation Method. The highest effect of nanoparticles' volumetric fraction on the temperature is obtained at phi = 0.6%, and the lowest effect is seen at phi = 0%. Also, the temperature profile rapidly decreases when the inclination angle increases from 0 to pi/2. Changing the Hartman number from 0(without magnetic field) to 3 (most magnetic field) leads to a growth of the temperature. (c) 2021 Elsevier B.V. All rights reserved.