In this article, the problem of an incompressible viscous flow over a flat plate is presented. The homotopy perturbation method (HPM) is employed to solve the well-known Blasius nonlinear differential equation. It has been tried to use a new technique by which one be able to obtain solutions that are very close to the exact solution of the equation. The obtained results have been compared with ...

This paper outlines a detailed study of some relatively new techniques which are originated by He for solving diversified nonlinear problems of physical nature. In particular, we will focus on the variational iteration method VIM and its modifications, the homotopy perturbation method HPM , the parameter expansion method, and exp-function method. These relatively new but very reliable technique...

In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the help of the homotopy perturbation method (HPM). The explicit solutions of the problem for the initial condition as a function of x have been obtained. It reveals that a few iterations are needed to obtain accurate ap...

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two-dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtaine...

In this paper, the reliable treatment of homotopy perturbation method (HPM) [19] is applied to obtain the solution of the sine-Gordon partial di¤erential equation of arbitrary (fractional) order. The advantage of this algorithm is its ability to provide the analytical or approximate solutions to nonlinear equations with the capability to overcome the di¢ culty that arises in calculating complic...

In this paper, the solution methodology of higher-order linear fractional partial deferential equations (FPDEs) as mentioned in eqs (1) and (2) below Caputo definition relies on a new analytical method which is called Laplace-residual power series (L-RPSM). The main idea our proposed technique to convert original FPDE Laplace space, then apply residual (RPSM) by using concept limit obtain solut...

The proficiency of hybrid nanoparticles in increasing heat transfer has impressed many researchers to further analyze the working those fluids. In current study, impact entropy generation on EMHD nanofluid (copper-alumina) flow over a rotating disk presence porous medium, Darcy‐Forchheimer, generation, viscous dissipation, and thermal radiation. By applying self-similarity variables, partial di...

In 2006, hospice and palliative medicine (HPM) became an officially recognized subspecialty. This designation helped initiate the Accreditation Council of Graduate Medical Education Outcomes Project in HPM. As part of this process, a group of expert clinician-educators in HPM defined the initial competency-based outcomes for HPM fellows (General HPM Competencies). Concurrently, these experts re...

The object of this investigation was to distinguish between two potential mechanisms of activation of human plasminogen (HPg) to plasmin (HPm) by catalytic levels of the activator complex, streptokinase.plasmin (SK* .HPm). One mechanism, which is widely supported, postulates an enzymatic role for SK*. HPm in the conversion of molar excesses of plasminogen to plasmin. A more recently described k...