A lumped heat transfer model and parameter estimation technique are proposed for determining key parameters associated with a heat flux Differential Scanning Calorimeter (DSC). Part I of this two-part paper focuses on developing the mathematical model and describing the proposed parameter estimation technique. Part II presents the numerical implementation using a conventional Runge-Kutta method...

The ultimate goal of this study is to develop a numerically effective approximation technique acquire numerical solutions the integer and fractional-order Bratu singular Lane–Emden-type problems especially with exponential nonlinearity. Both initial boundary conditions were considered fractional derivative being in Liouville–Caputo sense. In direct approach, generalized Bessel matrix method bas...

In this manuscript, we find the numerical solutions of a class fractional-order differential equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in circular cylindrical conduit. The underlying model is removed by quasilinearization method (QLM) obtain family linearized equations. By making use generalized shifted airfoil polynomials second kind (SAPSK) toge...