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The features of magnetohydrodynamics (MHD) flow and melting heat transfer of dusty Casson fluid over a stretching sheet have been disclosed. The modified version of Fourier's law through Cattaneo–Christov heat flux is employed. The mathematical formulation is yielded in the form of ordinary differential equations. The attained coupled system has been scrutinised with the aid of Runge–Kutta–Fehlberg 45 order method along with shooting technique. In order to produce accuracy and refinement in the consequences, the coefficients of Runge–Kutta scheme are obliged. To get complete intellect about the current pagination, the impact of flow controlling variables on pertinent profiles are evaluated in a quantitative and qualitative manner. The computations of wall friction factor and heat transfer coefficient are presented in graphical and tabular forms. It is noticed that, due to the presence of the melting effect, the temperature and thermal boundary layer thickness are higher for relaxation time parameter.

MHD flow and melting heat transfer of dusty Casson fluid over a stretching sheet with Cattaneo–Christov heat flux model