Solving singularly perturbed fredholm integro-differential equation using exact finite difference method [PDF]
BMC Research Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Solomon Regasa Badeye +2 more
doaj +2 more sources
Journal of Mathematics, 2021 In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh.
P. Hammachukiattikul +5 more
doaj +2 more sources
On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique [PDF]
MethodsX, 2023 In this paper, the boundary layer flow of viscous incompressible fluid over an inclined stretching plate in porous media with body force and heat transfer has been studied.
Tahera Begum +3 more
doaj +2 more sources
A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition [PDF]
BMC Research NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Aklilu Fufa Oljira +1 more
doaj +2 more sources
Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient. [PDF]
Numer Math (Heidelb), 2018 We prove strong convergence of order $1/4-\epsilon$ for arbitrarily small $\epsilon>0$ of the Euler-Maruyama method for multidimensional stochastic differential equations (SDEs) with discontinuous drift and degenerate diffusion coefficient.
Leobacher G, Szölgyenyi M.
europepmc +3 more sources
Optimal control and bifurcation diagram for a model nonlinear fractional SIRC [PDF]
Alexandria Engineering Journal, 2020 In this article, the optimal control for nonlinear SIRC model is studied in fractional order using the Caputo fractional derivative. Graph signal flow is given of the model and simulated by Simulink/Matlab which helps in discussing the topological ...
A.M.S. Mahdy +3 more
doaj +1 more source
Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
doaj +1 more source
Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
doaj +1 more source
A study of stability of SEIHR model of infectious disease transmission
Nonautonomous Dynamical Systems, 2021 We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease.
Ouedraogo Harouna +3 more
doaj +1 more source
A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
doaj +1 more source