The Black-Scholes equations have been increasingly popular over the last three decades since they provide more practical information for optional behaviours. Therefore, effective methods needed to analyze these models. This study will focus mainly on investigating behavior of equation European put option pricing model. To achieve this, numerical solutions model are produced by combined methods....

The aim of our study is to solve a nonlinear epidemic model, which the COVID-19 model in Iraq, through application initial value problems current study. has been presented as system ordinary differential equations that parameters change with time. Two numerical simulation methods are proposed this suitable for solving systems whose coefficients over These Mean Monte Carlo Runge-Kutta method (MM...

The aim of this study is the investigation of the large amplitude deflection of an Euler-Bernoulli beam subjected to an axial load on a viscoelastic foundation with the strong damping. In order to achieve this purpose, the beam nonlinear frequency has been calculated by homotopy perturbation method (HPM) and Hamilton Approach (HA) and it was compared by the exact solutions for the different bou...

The steady-state reactive transport model (RTM) is a generalization of the nonlinear reaction-diffusion in porous catalysts. RTM expressed as non-linear ordinary differential equation second-order with boundary conditions. Artificial neural network (ANN), Particle swarm optimization (PSO), and hybrid PSO-SQP (Sequential Quadratic Programming) are used to obtain accurate, approximate solutions R...

Thin film flow (TFF) problems received a lot of attention in recent times. Some frequent applications TFF include polymer and metal extraction, elastic sheet drawing, food striating, heat exchanges, device fluidization. Further improvement enhancement need to be examined due its practical applications. In the current analysis, viscoelastic nanofluid thin through vertical expanding presence magn...

This paper discusses our efforts to simulate large systems of bubbles in complex geometries, with specific application to modeling cavitation instabilities. An important unstable regime is the transition from sheet-to-cloud cavitation (SCC). Experiments performed by Callenaere et al. (2001) highlight the unsteady flow structures of SCC, which is characterized by unstable regions of vapor bubble...

Transient stability-constrained optimal power flow (TSCOPF) models comprehensively analyze the security and economic operation of systems. However, they require a high computational effort can suffer from convergence problems when applied to large This study analyzes performance eleven numerical integration algorithms ordinary differential equations that represent system dynamics in TSCOPF mode...

Abstract In this paper, we apply a simple finite element numerical scheme, proposed in an earlier work (Liu in Math Comput 70(234):579–593, 2000), to perform a high resolution numerical simulation of incompressible flow over an irregular domain and analyze its boundary layer separation. Compared with many classical finite element fluid solvers, this numerical method avoids a Stokes solver, and ...

The dynamic analysis of the biomechanical model of the head load impact using the Differential Transform Method is presented in this paper. In many parts of the world, the problem of traumatic brain injuries (TBI) has led to neurodegenerative dementing disorders and diseases as a result of head load impact from sporting activities, accidents involving the head, etc. have serious effects on huma...

In this article we present a new approach for the computation of guaranteed solutions of ODEs, based on a classical Runge-Kutta method with a precise error approximation. The interest in validated methods for solving ODEs has recently increased in many areas, such as state estimation [9] or validation of hybrid systems [6]. In these applications, it is crucial to have guaranteed bounds on the b...