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Dynamics of a stochastic and periodic virus model with Beddington-DeAngelis functional response
We consider a periodic virus model with Beddington-DeAngelis functional responses, which is assumed that not only the death rate of the uninfected,...
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A Mass-Conservative Reduced-Order Algorithm in Solving Optimal Control of Convection-Diffusion Equation
This paper introduces a novel approach, the mass-conservative reduced-order characteristic finite element (MCROCFE) method, designed for optimal...
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A robust second-order low-rank BUG integrator based on the midpoint rule
Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly model order reduction for prohibitively large matrix...
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A strongly convergent algorithm for solving split equality problems beyond monotonicity
In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and...
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A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes
In this paper, we construct a new mixed finite element for the Stokes problem on general convex quadrilateral partitions. The velocity is...
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On convergence of a sketch-and-project method for the matrix equation \(AXB=C\)
In this paper, based on Lagrangian functions of the optimization problem we develop a sketch-and-project method for solving the linear matrix...
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Complex dynamic behaviour on fractional predator–prey model of mathematical ecology
In this paper, we present a mathematical predator–prey model in which the predator population is divided into two stages: mature (adult) stage and...
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Superconvergence Analysis of a Robust Orthogonal Gauss Collocation Method for 2D Fourth-Order Subdiffusion Equations
In this paper, we study the orthogonal Gauss collocation method (OGCM) with an arbitrary polynomial degree for the numerical solution of a...
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Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels
The aim of this paper is to implement the high-order local discontinuous Galerkin method (LDGM) for solving partial integro-differential equations...
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Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws
Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes,...
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Weakly Compressible Two-Layer Shallow-Water Flows Along Channels
In this paper, we formulate a model for weakly compressible two-layer shallow water flows with friction in general channels. The formulated model is...
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On the Connected Blocks Polytope
In this paper, we study the connected blocks polytope, which, apart from its own merits, can be seen as the generalization of certain connectivity...
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An efficient algorithm for solving the variable-order time-fractional generalized Burgers’ equation
A numerical scheme based on the Haar wavelets coupled with the nonstandard finite difference scheme is presented to solve the variable-order...
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Weak convergence of tamed exponential integrators for stochastic differential equations
We prove weak convergence of order one for a class of exponential based integrators for SDEs with non-globally Lipschitz drift. Our analysis covers...
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Existence and uniqueness of solutions for \(\Psi \)-Caputo fractional neutral sequential differential equations on time scales
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problems involving implicit fractional...
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Finite time stability analysis for fractional stochastic neutral delay differential equations
In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and...
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Super implicit two-step collocation methods for ordinary differential equations
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are...
