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High-Order Semi-implicit Schemes for Evolutionary Partial Differential Equations with Higher Order Derivatives
The aim of this work is to apply a semi-implicit (SI) strategy in an implicit-explicit (IMEX) Runge–Kutta (RK) setting introduced in Boscarino et al....
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Infinitely many positive solutions for an iterative system of fractional BVPs with multistrip Riemann–Stieltjes integral boundary conditions
In this paper, the existence of infinitely many positive solutions for an iterative system of singular fractional order boundary value problems...
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The High-Order Variable-Coefficient Explicit-Implicit-Null Method for Diffusion and Dispersion Equations
For the high-order diffusion and dispersion equations, the general practice of the explicit-implicit-null (EIN) method is to add and subtract an...
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Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery
In this contribution, we develop an efficient surrogate modeling framework for simulation-based optimization of enhanced oil recovery, where we...
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Unsteady MHD reactive flow of second grade fluid through porous medium in a rotating parallel plate channel
We considered the transient MHD flow of a reactive second grade fluid through a porous medium between two infinitely long horizontal parallel plates...
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Riemann solutions for counterflow combustion in light porous foam
The paper is motivated by a model for the injection of air into a porous medium that contains a solid fuel. In previous work, a system of three...
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Analytical Solutions for Transient Temperature Distribution in Heavy-Oil Reservoir due to Heating Producer Well
AbstractThis paper presents the results of a study of transient temperature distribution in the reservoir during the heat treatment of the producer...
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Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix
The incorporation of the quasicrystalline phase into the metal matrix offers a wide range of potential applications in particle-reinforced...
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Existence and uniqueness results for a class of p(x)-Kirchhoff-type problems with convection term and Neumann boundary data
We establish an existence and uniqueness results for a homogeneous Neumann boundary value problem involving the p ( x )-Kirchhoff-Laplace operator of...
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Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance
We study an n -dimensional system of ordinary differential equations with a constant matrix, a relay-type nonlinearity, and an external disturbance in...
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Explosive Percolation and Its Applications
In Chap. 3 , we described many variants of the classical random bond or site percolation. Such variants...
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Relation Between Solutions and Initial Values for Double-Nonlinear Diffusion Equation
In this paper, we consider the Cauchy problem of the double-nonlinear diffusion equation. We establish the propagation speed estimates and space-time...
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Dynamics of Melting Heat Transfer of a Micropolar Nanofluid over an Electromagnetic Actuator with Irregular Thickness and Non-uniform Heat Source
In the current investigation, the mechanism of melting heat propagation in the motion of micropolar fluid is considered over a stretchy...
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Numerical Simulation of Gas Mixtures Based on the Quasi-Gasdynamic Approach as Applied to the Interaction of a Shock Wave with a Gas Bubble
AbstractA new numerical algorithm for simulating transonic flows of nonreacting gas mixtures is proposed. The algorithm is based on the finite volume...
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Stabilized finite element method for the stationary mixed Stokes–Darcy problem
This paper considers numerical methods for solving the viscous incompressible steady-state Stokes–Darcy problem that can be implemented by the use of...
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Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer
The weakly nonlinear stability of the triple diffusive convection in a Maxwell fluid saturated porous layer is investigated. In some cases,...
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Stationary regimes of cooling porous objects with periodically distributed energy-release sources
Under study is the one-dimensional stationary regime of gas motion through porous objects with periodically distributed intensity of energyrelease...
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Finite Element Analysis of MHD Blood Flow in Stenosed Coronary Artery with the Suspension of Nanoparticles
The numerical study presents a two dimensional mathematical modelling and computational simulation of blood flow in a stenosed coronary artery in the...