In this paper, a modification of He's homotopy perturbation method is presented. The new
modification extends the application of the method to solve nonlinear differential equations …

The aim of this Letter is to present an efficient and reliable treatment of the homotopy
perturbation method (HPM) for nonlinear partial differential equations with fractional time …

This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

In this paper, the quadratic Riccati differential equation is solved by means of an analytic
technique, namely the homotopy analysis method (HAM). Comparisons are made between …

In this article, we implement a relatively new analytical technique, the Adomian
decomposition method, for solving fractional Riccati differential equations. The fractional …

In this paper, the quadratic Riccati differential equation is solved by He's variational iteration
method with considering Adomian's polynomials. Comparisons were made between …

Here, the homotopy analysis method (HAM), one of the newest analytical methods which is
powerful and easy-to-use, is applied to solve heat transfer problems with high nonlinearity …

In this paper, a Laplace homotopy perturbation method is employed for solving one-
dimensional non-homogeneous partial differential equations with a variable coefficient. This …

In this work, a numerical technique for solving general nonlinear ordinary differential
equations (ODEs) with variable coefficients and given conditions is introduced. The …

In this article, the homotopy perturbation method proposed by J.-H. He is adopted for solving
linear fractional partial differential equations. The fractional derivatives are described in the …