A5009149129- Numerical methods for differential equations
- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Iterative Methods for Nonlinear Equations
- Matrix Theory and Algorithms
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Electromagnetic Scattering and Analysis
- Nonlinear Differential Equations Analysis
- Computational Fluid Dynamics and Aerodynamics
- Model Reduction and Neural Networks
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- COVID-19 epidemiological studies
- Numerical methods in inverse problems
- Opinion Dynamics and Social Influence
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Boundary Problems
- Stability and Controllability of Differential Equations
- Advanced Optimization Algorithms Research
- Scientific Measurement and Uncertainty Evaluation
- Nonlinear Dynamics and Pattern Formation
- Elasticity and Wave Propagation
- Evolutionary Algorithms and Applications
- Advanced Control Systems Design
University of Salerno
2015-2024
Weatherford College
2022
Horia Hulubei National Institute for R and D in Physics and Nuclear Engineering
2010
University of Naples Federico II
2005-2010
In this study, we consider a mathematical model for the disease dynamics in both prey and predator by considering Susceptible–Infected–Recovered–Susceptible (SIRS) with prey–predator Lotka–Volterra differential equations. Carrying capacity, predation, migration, immunity loss are also taken into account species. Using law of mass action, physical is transformed nonlinear coupled system ODEs. The classical/integer order ODE then generalized through fractal-fractional operators power...
We investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation the stage values at current step by in previous step. This was first proposed authors context general linear methods.
Abstract This paper analyzes an age-group susceptible-infected-recovered (SIR) model. Theoretical results concerning the conservation of total population, positivity analytical solution, and final size epidemic are derived. Since model is a nonlinear system ordinary differential equations (ODEs), numerical approximation considered, based on Standard non-Standard Finite Difference methods, Modified Patankar-Runge–Kutta (MPRK) method. The preservation qualitative properties solution studied....
We propose two-step collocation methods for the numerical solution of fractional differential equations. These increase order convergence one-step methods, with same number points. Moreover, they are continuous i.e. furnish an approximation at each point time interval. describe derivation and analyse convergence. Some experiments confirm theoretical expectations.
In this paper we analyze a family of multistep collocation methods for Volterra Integro‐Differential Equations, with the aim increasing order classical one‐step without computational cost. We discuss constructed and present stability analysis.
The present paper deals with the implementation in a variable-step algorithm of general linear methods Nordsieck form inherent quadratic stability and large regions constructed recently by Braś Cardone. Various issues such as rescale strategy, local error estimation, step-changing strategy starting procedure are discussed. Some numerical experiments reported, which show performances make comparisons other existing methods.
We describe the search for explicit general linear methods in Nordsieck form which stability function has only two nonzero roots. This is based on state-of-the-art optimization software. Examples of found this way are given order p = 5, 6, and 7.
This paper deals with the numerical solution of systems differential equations a stiff part and non-stiff one, typically arising from semi-discretization certain partial models. It is illustrated construction analysis highly stable high-stage order implicit-explicit (IMEX) methods based on diagonally implicit multistage integration methods (DIMSIMs), subclass general linear (GLMs). Some examples optimal stability properties are given. Finally experiments confirm theoretical expectations.
This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas region. After satisfying order conditions, remaining free parameters are used to find area region absolute stability. Examples p = q + 1 s r - up 6 given.