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Numerical and artificial neural network prediction of double-stratified magnetized nanofluid flow and heat transfer over a stretchable cylinder with Brownian motion and thermal slip [PDF]
Discover NanoThe current study aims to investigate the effects of double stratification on magneto-hydrodynamic (MHD) nanofluid flow over a stretching cylinder in the presence of thermal radiation. The model incorporates Brownian motion, thermophoresis, and velocity,
Aaqib Majeed +6 more
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Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime
Partial Differential Equations in Applied Mathematics, 2022 Spatiotemporal dynamics of many natural processes, such as elasticity, heat propagation, sound waves, and fluid flows are often modeled using partial differential equations (PDEs).
Yuxin Wang +3 more
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Fractal and Fractional, 2021 Fractional-order mathematical modelling of physical phenomena is a hot topic among various researchers due to its many advantages over positive integer mathematical modelling.
Arfan Ali +3 more
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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
Applied General Topology, 2021 The aim of this work is two fold: first we extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to the case of the sum $T+F ...
Svetlin Georgiev Georgiev +1 more
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A Reliable Computational Scheme for Stochastic Reaction–Diffusion Nonlinear Chemical Model
Axioms, 2023 The main aim of this contribution is to construct a numerical scheme for solving stochastic time-dependent partial differential equations (PDEs). This has the advantage of solving problems with positive solutions.
Muhammad Shoaib Arif +2 more
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Fractal and Fractional, 2022 In this paper, we propose a modified fractional diffusive SEAIR epidemic model with a nonlinear incidence rate. A constructed model of fractional partial differential equations (PDEs) is more general than the corresponding model of fractional ordinary ...
Yasir Nawaz +2 more
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Heliyon, 2020 A mathematical analysis is performed to study the flow and heat transfer phenomena of Casson based nanofluid with effects of the porosity parameter and viscous dissipation over the exponentially permeable stretching and shrinking surface.
Sumera Dero +2 more
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Minimal positive solutions for systems of semilinear elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to a system of nonlinear PDEs containing gradient terms. Applying the approach based on Sattinger's iteration procedure we use sub and supersolutions methods to prove the existence of positive solutions with minimal growth.
Aleksandra Orpel
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Comparative Assessment of Nonlocal Continuum Solvent Models Exhibiting Overscreening
Computational and Mathematical Biophysics, 2017 Nonlocal continua have been proposed to offer a more realistic model for the electrostatic response of solutions such as the electrolyte solvents prominent in biology and electrochemistry. In this work, we review three nonlocal models based on the Landau-
Ren Baihua, Bardhan Jaydeep P.
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Variational approach for the n-dimensional stationary Navier-Stokes equations with a damping term
Electronic Journal of Differential EquationsWe study the \(n\)-dimensional stationary Navier-Stokes equations with a damping term by developing a new general minimax principle. This principle is sufficiently broad to be applied in various contexts, and here it is used to establish the existence ...
Alireza Khatib +2 more
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