... are transformed into ordinary differential equations using similarity transformations. The resulting system is solved semi-numerically using the Homotopy analysis method ( HAM ) implemented through Mathematica packages BVPh 1.0 and BVPh 2.0. Parametric effects of key dimensionless numbers are analyzed graphically...

... is described by the Buongiorno’s nanofluid model with passively controlled model at the boundaries. An appropriate set of non-dimensional quantities are used to simplify the nonlinear systems. The resulting coupled nonlinear equations are solved by using homotopy analysis method. Findings The present work...

... using stream function formulation and solved by local non-similarity method with homotopy analysis method. The numerical computations are validated and verified by comparing with earlier published results and are found to be in good agreement. Findings The effects of varying the physical parameters...

... in the presence of transverse magnetic field. The governing non-linear boundary layer equations are solved by using homotopy analysis method (HAM). The effects of various system parameters on velocity and temperature fields are discussed graphically, and the numerical values for skin friction and Nusselt number...

... ν=kinematic viscosity ν_s=thermal diffusivity η=dimensionless normal distance μ_ν=dynamic viscosity © Emerald Group Publishing Limited 2014 Porous channel Homotopy analysis method Micropolar flow Optimal convergence-control...

...M.T. Darvishi; R.S.R. Gorla; F. Khani Purpose – The purpose of this paper is to conduct a numerical study of the convection heat transfer in porous media by the homotopy analysis method (HAM). The geometry considered is that of a rectangular profile fin. The porous fin allows the flow...

...). Ahmet Yildirim can be contacted at: ahmet.yildirim@ege.edu.tr © Emerald Group Publishing Limited 2013 Telegraph equation Homotopy analysis method Homotopy Padé technique Differential equations Approximation theory Consider the second-order one-dimensional linear hyperbolic...

...Xindong Zhang; Leilei Wei; Bo Tang; Yinnian He Purpose In this article, the authors aim to present the homotopy analysis method (HAM) for obtaining the approximate solutions of space‐time fractional differential equations with initial conditions. Design/methodology/approach The series solution...

...‐analytical approach, using both the homotopy analysis method (HAM) and the modified homotopy analysis method (MHAM) for finding the solution of linear and nonlinear DAEs. Findings The results show that the new modification can effectively reduce computational costs and accelerates the rapid convergence...

... to equation (3) are given by: Equation 24 where k and l are nonzero constants, w is an arbitrary constant. A. Yildirim can be contacted at: ahmet.yildirim@ege.edu.tr © Emerald Group Publishing Limited 2013 Homotopy analysis method Homotopy Padé method (1+1...

...Behrouz Raftari; Heidar Khosravi; Ahmet Yildirim Purpose The purpose of this paper is to obtain approximate analytical solution of the second order hyperbolic telegraph equation with initial conditions, by the homotopy analysis method (HAM). Design/methodology/approach The HAM solutions...

..., microrotation and energy equations are analytically solved using homotopy analysis method (HAM). Findings To validate the method, investigate the accuracy and convergence of the results, a comparison with existing numerical and experimental results is done for several cases. Finally, by using the obtained...

... differential equations which are analytically solved by the homotopy analysis method (HAM). The analytic solutions of non‐linear differential equation are constructed in the series form. The convergence of the series solutions is carefully analyzed. Findings Graphical results are presented to investigate...

...Syed Tauseef Mohyud‐Din; Ahmet Yıldırım; Eda Yülüklü Purpose The purpose of this paper is to present numerical solutions for the space‐ and time‐fractional Korteweg‐de Vries (KdV) equation using homotopy analysis method (HAM). The space and time‐fractional derivatives are described in the Caputo...

...‐numerical approach which is based on the homotopy analysis method. Design/methodology/approach The convergence of the obtained solution is expressed and some typical examples are employed to illustrate validity, effectiveness and flexibility of this procedure. This approach, in contrast to perturbation...