We present an analytical solution of the time-fractional foam drainage equation, using a
generalised homotopy analysis method q-HAM. We considered the fractional derivative in …

A new collocation method is developed for solving BVPs which arise from the problems in
calculus of variation. These BVPs result from the Euler‐Lagrange equations, which are the …

In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate
solutions of KdV equations of seventh order, which are Sawada Kotera Ito equation, Lax …

Purpose–Multi‐point boundary value problems have important roles in the modelling of
various problems in physics and engineering. This paper aims to present the solution of …

The analytical solution of the foam drainage equation with time‐and space‐fractional
derivatives was derived by means of the homotopy analysis method (HAM). The fractional …

The homotopy analysis method (HAM) is applied to obtain the approximate solutions of
linear or nonlinear partial differential equations (PDEs). In this paper, the homotopy analysis …

In this paper, the Laplace transform homotopy analysis method (LHAM) is employed to
obtain approximate analytical solutions of the linear and nonlinear differential equations …

An analytic technique, the homotopy analysis method (HAM), is applied to obtain the
approximate analytical solutions of fourth-order integro-differential equations. The homotopy …

In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving
Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the …

In this paper, the homotopy analysis method is proposed to solve an evolution equation.
Comparisons are made between the Adomian decomposition method (ADM), the exact …