Mathematics and Computers in Simulation

This paper aims to provide a data-driven approach for modeling the longitudinal dynamics of a typical ground vehicle with a gasoline engine and automatic transmission. In the identification process, a Linear Parameter Varying (LPV) model is ...

We propose a new mixed finite element formulation for solving radiation–conduction heat transfer in optically thick anisotropic media. At this optical regime, the integro-differential equations for radiative transfer can be replaced by the ...

In the past decades, many applications related to applied physics, physiology and astrophysics have been modelled using a class of two-point singular boundary value problems (SBVPs). In this article, a novel approach based on the shooting ...

The prey–predator interaction between organisms living in an ecosystem is greatly affected by the cooperation among the species as well as immature prey refuge in presence of time delay. This study has developed and analysed a stage-structured ...

Recently, several numerical methods have been developed for solving time-fractional differential equations not only on rectangular computational domains but also on convex and non-convex non-rectangular computational geometries. On the other hand,...

Runge–Kutta–Nyström (RKN) methods are extensively used to obtain approximate solutions of ordinary differential equations (ODEs). Specifically, they are widely used to directly solve second-order ODEs of the special form. Although the derivation ...

A novel category of explicit conservative numerical methods with arbitrarily high-order is introduced for solving the nonlinear fractional Schrödinger wave equations in one and two dimensions. The proposed method is based on the scalar auxiliary ...

The paper deals with the approximation and numerical realization of the Stokes system in 3D with Coulomb’s slip boundary conditions. The weak velocity–pressure formulation leads to an implicit inequality type problem which is discretized by the ...

In this paper, we provide a new semi-analytical approach, General Residual Power Series Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple and effective for finding an accurate and approximate solution to ...

We investigate linear dynamical systems of second order. Uncertainty quantification is applied, where physical parameters are substituted by random variables. A stochastic Galerkin method yields a linear dynamical system of second order with high ...

For a stochastic differential equation (SDE) with a unique positive solution, a rational numerical method is expected to be structure preserving. However, most existing methods are not, as far as we know. Some characteristics of the SDE models ...

Solar thermal collectors convert sunlight into useful thermal energy by absorbing its incoming radiation. Concentrated solar power technologies use the parabolic trough solar collector to collect solar energy with temperatures ranging from 325–...

Aiming at the second-order tracking system with arbitrary initial shifts, this paper presents a multi-phase iterative learning control strategy. Firstly, utilizing the form of solution of the second-order non-homogeneous linear differential ...

A simple and easy-to-implement discrete approximation is proposed for one-dimensional higher-order integral fractional Laplacian (IFL), and our method is applied to discrete the fractional biharmonic equation, multi-term fractional differential ...

In recent years, as detailed in several monographs, derivations of the fractional differential equations and fractional integral equations are based on random functional or stochastic equations, with the output that physical interpretation of the ...

In this article, we are committed to the study of dynamic properties for a stochastic SEIR epidemic model with infectivity in latency and home quarantine about the susceptible and Ornstein–Uhlenbeck process. Firstly, we provide a criterion for ...

• A stochastic SEIR model with Ornstein-Uhlenbeck process is investigated.
• Sufficient criteria for the existence of an ergodic stationary distribution are derived.
• The probability density function of the stochastic model is obtained.

An HCV model with saturation incidence and cellular immunity is constructed and analyzed. The model takes account of both intrahepatic and extrahepatic tissues and the effect of antiviral drugs especially the interferon. The basic reproduction ...

High computational cost in elastoplastic analysis is often handled by the use of high performance parallel computers. However, the presence of both elastic and plastic states leads to the branching issue, which prevents the realization of true ...

This work aims at studying an epidemic model for infections in the predator–prey interaction with diffusion. We inspected the stability of the model without a diffusion case. The incidence rate is assumed to be convex relative to the infectious ...

For the 2D and 3D Virtual Element Methods, a new approach to improve the conditioning of local and global matrices in the presence of badly-shaped polytopes is proposed. This new method defines the local projectors and the local degrees of ...

The paper provides a novel algorithmic differentiation method by constructing a weak approximation for Bismut’s formula. A new operator splitting method based on Gaussian Kusuoka-approximation is introduced for an enlarged semigroup describing “...

• Novel algorithmic differentiation method is provided through Bismut’s formula.
• New operator splitting method is introduced for gradient of diffusion semigroups.
• New perspective is proposed for weak approximation on gradient ...