Abstract: For this work, scientists examined the behaviour that is not Newtonian Williamson-Casson-Williamson nanofluid in contact with a porous substance and a magnetic field as it flows towards an impermeable, stretched sheet. We investigate the thermophoresis and Brownian motion phenomena that arise when a non-linearly stretched sheet undergoes melting heat transfer.Consideration is given to the stages below to make the implementation of computational algorithms practical.

1. a) Using the appropriate transformation, the PDEs are turned into ODEs.
2. b) This results in a boundary value issue, which then leads to an initial value issue.
3. c) Using the Runge-Kutta technique, these built ordinary differential equations are computationally solved.
4. d) Using both graphical output and tabular data, the impact logs of a physical flow parameter are analysed.
5. e) In addition, tables are used to calculate the different Sherwood, Nusselt, and skin-friction numbers.
6. f) The accuracy of the current procedure and that of previously published research are highly concordant.

Keywords: Williamson fluid; Casson fluid; Nanofluid; Porous medium; Melting transfer; Magnetic field; Impermeable stretching sheet;