Abstract An explicit approximate solution is obtained for the extended Blasius equation subject to its well-known classical boundary conditions, where viscosity coefficient assumed be positive and temperature-dependent, which arises in several important layer problems fluid dynamics. This problem extends a previous by Cortell (Appl Math Comput 170:706–710, 2005) when constant, numerical was obt...

The temporal evolution of pandemics described by the susceptible-infectious-recovered (SIR)-compartment model is sensitively determined time dependence infection (a(t)) and recovery (μ(t)) rates regulating transitions from susceptible to infected recovered compartment, respectively. Here, approximated SIR solutions for different dependencies are derived which based on adiabatic approximation as...