Mathematical Model of the Waste Plastic Management via ABC Fractional Order Derivative
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Plastic waste can be broadly classified as recyclable and nonrecyclable wastes. The United Nations has set 17 goals of which Goal 14 refers to “Life below Water.” If plastic waste is not properly managed, it can pose a health hazard, including reproductive impairment in marine species. Hence, waste plastic management is necessary to achieve the Goal No.
Rajagopalan Ramaswamy +4 more
wiley +1 more source
Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
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Blended General Linear Methods based on Boundary Value Methods in the GBDF family [PDF]
, 2009 Among the methods for solving ODE-IVPs, the class of General Linear Methods (GLMs) is able to encompass most of them, ranging from Linear Multistep Formulae (LMF) to RK formulae.
Brugnano, Luigi, Magherini, Cecilia
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods
, 2010 In this article we compare the mean-square stability properties of the Theta-Maruyama and Theta-Milstein method that are used to solve stochastic differential equations. For the linear stability analysis, we propose an extension of the standard geometric
Buckwar, Evelyn, Sickenberger, Thorsten
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Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
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A Numerical Method for SDEs with Discontinuous Drift
, 2015 In this paper we introduce a transformation technique, which can on the one hand be used to prove existence and uniqueness for a class of SDEs with discontinuous drift coefficient.
Leobacher, Gunther +1 more
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A class of robust numerical methods for solving dynamical systems with multiple time scales [PDF]
, 2019 In this paper, we develop a class of robust numerical methods for solving dynamical systems with multiple time scales. We first represent the solution of a multiscale dynamical system as a transformation of a slowly varying solution.
Hou, Thomas Y. +2 more
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Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
europepmc +1 more source
Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
europepmc +1 more source