An approximate analytical solution of the Balitsky–Kovchegov (BK) equation using homotopy perturbation method (HPM) is suggested in this work. We carried out our work perturbative Quantum Chromodynamics (QCD) (pQCD) dipole picture deep inelastic scattering (DIS). The BK momentum space with some change variables and truncation Balitsky–Fadin–Kuraev–Lipatov (BFKL) kernel can be reduced to Fisher–...

In this paper, we have introduced a fractional-ordered predator-prey population model which has been successfully solved with the help of two powerful analytical methods, namely, Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM). The fractional derivatives are described in the Caputo sense. Using initial values, we have derived the explicit solutions of predator-prey pop...

This article discusses the solution to fractional order SEIR equation with help of Homotopy Perturbation Method (HPM). mathematical model is spread COVID-19 cases in Indonesia. In general, nonlinear Ordinary Differential Equation System (ODES) quite difficult solve analytically, so this research will transform ODES into a Fractional (FDES). The method used completing HPM method. for by obtained...

Homotopy Perturbation Method is an effective method to find a solution of a nonlinear differential equation, subjected to a set of boundary condition. In this method a nonlinear and complex differential equation is transformed to series of linear and nonlinear and almost simpler differential equations. These set of equations are then solved secularly. Finally a linear combination of the solutio...

The various industrial and engineering applications of flow of fluid between parallel plates have continued to generate renewed interests. In this work, a comparative study of approximate analytical methods is carried out using differential transformation,homotopy perturbation, Adomian decomposition, variation of parameter and variational iteration methods for the analysis of a steady two-dimen...

In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transport equation is at first converted into the equation of two functions. First one have both, the first order fractional time derivative and second order space derivatives, while second one has only s...

Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...

As an effective method for solving linear and nonlinear equations, the homotopy perturbation is usually applied to relevant problems. We analyze 74 studies on application of present a comprehensive review them with conclusion obtained: (1) Homotopy generally problems ordinary differential equations; (2) combined technology transform when it used solve more complicated (3) By comparing other sim...

Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt literature assume constant transport parameters, primarily because analytical solutions for varying parameters become a challenge. The present study analytically solves two-species convection-dispersion equation, considering spatially dispersion coefficient and s...

In this work, the homotopy perturbation method is developed and formulated to find an approximate-analytical solution of fuzzy initial value problems involving a nonlinear first order ordinary differential equation. HPM allows for the solution of FIVPs to be calculated in the form of an infinite series in which the components can be easily computed. An efficient algorithm is proposed of HPM on ...