524 citations · 2.1k across the 39 of their papers we have counts for
39 papers
Exact general relativistic solutions for a cylindrically symmetric stiff fluid matter source
Tiberiu Harko, Francisco S. N. Lobo, Man Kwong Mak
In this work, we derive the general solutions for a cylindrically symmetric space-time filled with a cosmological perfect fluid obeying (), where repres…
Analytical solutions of the one-dimensional Schrödinger equation with position-dependent mass
Tiberiu Harko, Man Kwong Mak
The study of the Schrödinger equation with the position-dependent effective mass has attracted a lot of attention, due to its applications in many fields of physics, including the…
A Brief Introduction to the Adomian Decomposition Method, with Applications in Astronomy and Astrophysics
Man Kwong Mak, Chun Sing Leung, Tiberiu Harko
The Adomian Decomposition Method (ADM) is a very effective approach for solving broad classes of nonlinear partial and ordinary differential equations, with important applications…
The effects of the dark energy on the static Schrödinger-Newton system -- an Adomian Decomposition Method and Padé approximants based approach
Man Kwong Mak, Chun Sing Leung, Tiberiu Harko
The Schrödinger-Newton system is a nonlinear system obtained by coupling together the linear Schrödinger equation of quantum mechanics with the Poisson equation of Newtonian mechan…
Series solution of the time-dependent Schrödinger-Newton equations in the presence of dark energy via the Adomian Decomposition Method
Tiberiu Harko, Man Kwong Mak, Matthew J. Lake
The Schrödinger-Newton model is a nonlinear system obtained by coupling the linear Schrödinger equation of canonical quantum mechanics with the Poisson equation of Newtonian mechan…
Series solution of the Susceptible-Infected-Recovered (SIR) epidemic model with vital dynamics via the Adomian and Laplace-Adomian Decomposition Methods
Tiberiu Harko, Man Kwong Mak
The Susceptible-Infected-Recovered (SIR) epidemic model as well as its generalizations are extensively used for the study of the spread of infectious diseases, and for the understa…