This work presents a unique semi-analytical approach based on the homotopy analysis
method (HAM), called accelerated HAM, recently proposed in (Hussain et al.,“Semi …

Reduction in forest resources due to increasing global warming and population growth is a
critical situation the World faces today. As these reserves decrease, it alarms new …

The phenomenon of coagulation and breakage of particles plays a pivotal role in diverse
fields. It aids in tracking the development of aerosols and granules in the pharmaceutical …

Abstract The Redner–Ben-Avraham–Kahng (RBK) coagulation model, initially proposed as
a discrete framework for investigating cluster growth kinetics, has recently been reformulated …

Solving differential equations over extended temporal domains is pivotal for many scientific
and engineering endeavors. The progression of numerous phenomena in the natural world …

This article introduces a novel semi-analytical solution for the aggregation equation utilizing
the Temimi–Ansari Method in conjunction with Pade approximants. The methodology is …

The accelerated homotopy perturbation Elzaki transform method (AHPETM), which is based
on the homotopy perturbation method (HPM), is used in this article to solve the Burgers …

This article aims to establish a semi-analytical approach based on the homotopy
perturbation method (HPM) to find the closed form or approximated solutions for the …

This article uses a novel semi-analytical method called the Daftardar-Jafari method (DJM) to
solve the condensing coagulation model (CCM) and the Lifshitz-Slyozov model (LSM). Our …

This article delineates a semi-analytical methodology for addressing the condensing
coagulation and Lifshitz-Slyozov models. The work also delves into the convergence …