In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …

The Painlevé equations were discovered by Painlevé, Gambier and their colleagues during
studying a nonlinear second‐order ordinary differential equation. The six equations which …

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

The nonlinear evolution equations with finite memory have a wide range of applications in
science and engineering. The Burgers equation with finite memory transport (time-delayed) …

In the current paper, the numerical solutions for a class of fractional advection–diffusion
equations with a kind of new generalized time-fractional derivative proposed last year are …

The inverse problem of determining an unknown source term in a parabolic equation with
the leading coefficient depending on time and space variables under a final …

A weighted algorithm based on the homotopy analysis method: Application to inverse heat
conduction problems - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …

In this paper a new treatment for homotopy perturbation method (HPM) is introduced. The
new treatment is called improved homotopy perturbation method (IHPM) which improves the …

The Adomian decomposition method (ADM) is an approximate analytic method for solving
nonlinear equations. Generally, an approximate solution can be obtained by using only a …

For the boundary value problem (BVP) of a second-order partial differential equation on a
plane triangle area, we propose a new algorithm based on the Adomian decomposition …