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

The two-point boundary value problems occur in a wide variety of problems in engineering
and science. In this paper, we implement the homotopy perturbation method for solving the …

In this paper, we present an efficient numerical algorithm for solving two-point linear and
nonlinear boundary value problems, which is based on the Adomian decomposition method …

I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …

In this paper, a combinatory method of the Laplace transform and the homotopy perturbation
method is proposed to solve non-homogeneous partial differential equations with variable …

A hybrid of Fourier transform and new modified homotopy perturbation method based on the
Adomian method is developed to solve linear and nonlinear partial differential equations …

Mathematical modeling of immobilized enzymes under different kinetics mechanism viz.
simple Michaelis–Menten, uncompetitive substrate inhibition, total competitive product …

In this paper, we apply homotopy perturbation transform method (HPTM) for solving
nonlinear wave-like equations of variable coefficients. This method is the coupling of …

The primary objective of this short work is the identification of alternate routes for the
determination of exact and numerical solutions of the Navier-Stokes equations in the specific …

Analytical approximate solutions of the two-dimensional incompressible Navier-Stokes
equations by means of Adomian decomposition method are presented. The power of this …