This paper looks at the series solutions of three dimensional boundary layer flow. An
Oldroyd-B fluid with variable thermal conductivity is considered. The flow is induced due to …

In this paper, we decide to compare rational and exponential Legendre functions Tau
approach to solve the governing equations for the flow of a third grade fluid in a porous half …

This paper expands the ideas of the spectral homotopy analysis method to apply them, for
the first time, on non-linear partial differential equations. The spectral homotopy analysis …

In this paper an algorithm based on the homotopy analysis method (HAM) is introduced to
study the magneto-hydrodynamic (MHD) squeeze flow between two parallel infinite disks …

The Painlevé equations and their solutions arises in parts of pure and applied mathematics
and theoretical physics. In this study, Sinc-collocation method and variational iteration …

In this article, a hybrid collocation method for solving highly nonlinear boundary value
problems is presented. This hybrid method combines Chebyshev collocation method with …

In this research, micropolar fluid flow of a porous plate due to Linear stretching is analyzed.
The basic partial differential equations are reduced to nonlinear ordinary differential …

This paper presents an iterative technique based on homotopy analysis method for solving
system of Volterra integro-differential equations. The technique provides us series solutions …

In the current work, a new approach based on exponential functions is presented to reach
the exact solutions to the problem of natural convection about a full cone which is set in a …

In this chapter we provide a general review of the spectral homotopy analysis method
(SHAM) for the solution of nonlinear boundary value problems. We demonstrate how the …