The differential equation is an that involves the derivative (derivatives) of dependent variable with respect to independent (variables). represents nothing but a rate change, and helps us present relationship between changing quantity change in another quantity. Adomian decomposition method one iterative methods can be used solve equations, both integer fractional order, linear or nonlinear, o...

This paper presents an insight into the boundary layer of free convection and heat transfer of nanofluids over a vertical plate at very low and high Prandtl number. Suitable similarity variables are used to convert the governing systems of nonlinear partial differential equations of the flow and heat transfer to systems of nonlinear ordinary differential equations which are solved using multi-s...

Remark : An alternative approach, advocated in [4], is to use the infinitesimal invariance criteria, which requires solving a linear system of first order partial differential equations based on the prolonged infinitesimal generators of the transformation group. In contrast, the moving frame method is completely algebraic, typically much simpler, and, moreover provides significantly more inform...