Engineering Reports, Volume 8, Issue 8, August 2026.A computational study of unsteady MHD radiative nanofluid flow in a semi‐porous channel reveals that nanoparticle shape, volume fraction, and magnetic effects significantly influence velocity and heat transfer. Results highlight strong coupling between geometric, electromagnetic, and thermophysical parameters in optimizing thermal system performance ...
Mahmmoud M. Syam +2 more
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Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization. [PDF]
Sci RepSasaki S, Endo K, Muramatsu M.
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
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Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
J Math BiolSpiliotis K +3 more
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Uniqueness for Neumann Problems for Nonlinear Elliptic Equations With Lower Order Terms
Mathematische Nachrichten, Volume 299, Issue 8, Page 1956-1982, August 2026.ABSTRACT In this paper, we prove uniqueness results for weak solutions to a class of Neumann problems, whose prototype is λ(1+u2)(p−2)/2u−div((1+|∇u|2)(p−2)/2∇u)−div(c(x)(1+|u|2)(τ+1)/2)+b(x)(1+|∇u|2)(σ+1)/2=finΩ(1+|∇u|2)(p−2)/2∇u+c(x)(1+|u|2)(τ+1)/2)·n̲=0on∂Ω,$$\begin{equation*} {\begin{cases} {}\lambda {(1+ u^2)}^{(p-2)/2}u-{\operatorname{div}}({(1+|\
Maria Francesca Betta +3 more
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Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]
Sci RepHussein HH, Mekawey H, Elsheikh A.
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Dynamics of prostate tumors under intermittent hormonal therapy: mathematical analysis on hybrid PDE-ODE systems博士学位論文 (Thesis(doctor ...
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Exact Solutions of Linear Multiple Delay Partial Differential Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14282-14291, August 2026.ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
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Homogenised balance equations for nematic liquid crystal flow in elastic porous media. [PDF]
Z Angew Math PhysAlwady M, Mottram NJ, Penta R.
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Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4863-4878, 25 August 2026.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
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