In this work, Differential Transform Method (DTM) was employed to obtain the series solution of SIRV COVID-19 model in Nigeria. The validity DTM solving validated by Maple 21’s Classical fourth-order Runge-Kutta method. comparison between and Runge- Kutta (RK4) solutions performed there a good correlation results obtained two methods. result validates accuracy efficiency solve

This study deals with the numerical solution of human immunodeficiency virus (HIV) infection model, which is a significant problem for global public health. Acquired syndrome (AIDS) communicable disease, and HIV causative agent AIDS, damages ability body to fight against disease easily usual innocuous infections attack body. On entering body, infects large amount CD4+ T-cells disturbs supply ra...

Water pollution is a major global problem that requires ongoing evaluation and revision of water resource policies at all levels, in order to create a healthy living environment. Differential equations are an effective way to analyze such situations. In this paper a system of linear equations with interconnecting pipes is considered for analyzing the pollution of system of lakes through differe...

 In this paper, we investigate the evolution of supercontinuum and femtosecond optical pulses generation through square lattice elliptical-core photonic crystal fiber (PCF) at 1550 nm by using both full-vector multipole method (M.P.M) and novel concrete algorithms: symmetric  split-step Fourier (SSF) and  fourth order Runge Kutta (RK4) which is an accurate method to solve the general  nonlinear...

The boundary layer problem for power-law fluid can be recast to a third-order p-Laplacian boundary value problem (BVP). In this paper, we transform the third-order p-Laplacian into a new system which exhibits a Lie-symmetry SL(3,R). Then, the closure property of the Lie-group is used to derive a linear transformation between the boundary values at two ends of a spatial interval. Hence, we can i...

This study investigates the use of differential transform method (DTM) for integrating Rössler system fractional order. Preliminary studies integer-order system, with reference to other well-established integration methods, made it possible assess quality and determine optimal parameter values that should be used when a different dynamic characteristics. Bifurcation diagrams obtained show that,...

In this paper, a stochastic heuristic technique is investigated to obtain the approximate solution of the HIV infection model of CD4T cells. The proposed technique represents the approximate solution as a linear combination of some polynomial basis functions with unknown adaptable coefficients. The trial solution of the problem is formulated using a fitness function, which contains unknown adap...

In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...