Inspired by the extensive applicability of solitons in nonlinear optics, advanced
telecommunication industry, trans-continental, and trans-oceanic systems, coupled with the …

The mathematical modeling of Nipah virus transmission, incorporating the bat-to-pig-to-
human pathway, is essential for understanding this disease dynamics and optimizing control …

In this research, we proposed coupling the Laplace transform method and the homotopy
Perturbation Method (LHPM). We employed the fusion of the Laplace method to make up for …

In this study, we present a simple but novel mathematical model to show the interaction of
the five immunological cells in the lymphocyte family–the cytotoxic-Lymphocytes (T), B-cell …

The emergence of the BurgerseHuxley equation (which involves the famous Burgers
equation and the Huxley equation) to predict response systems, dispersion moves, and …

This study explores the application of the weighted average method for solving the Burger-
Fisher equation, a nonlinear partial differential equation (PDE) of significant interest in …

In this study, an asymptotic method called the method of integral invariant manifold (MIM)
was applied to a mathematical model of Osteosarcoma cancer. The mathematical model …

In this paper, the effect of magnetic field on two ephase flow of Jeffrey and non-Jeffrey fluids
in an inclined medium is investigated. The flow in both medium is assumed to be set in …

This work thoroughly analyses the use of sophisticated mathematical approaches in the
solution of fractional-order nonlinear dynamical systems. In particular, we use the Adomian …

In this research, we compare and contrast two numerical methods, the Laplace Adomian
Decomposition Method (LADM) and the Elzaki Projected Differential Transform Method …