Results 131 to 140 of about 2,638 (189)

Topological Derivative‐Based Topology Optimization of Linearized Viscous Shallow Water Equation

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we focus on the derivation of the topological derivative of shallow water equations. We consider two‐dimensional viscous shallow‐water equations linearized around a constant velocity. While these equations are commonly used to model various hydrodynamic phenomena such as waves and tsunamis, their study in a topology optimization ...
Mame Gor Ngom, Bakary Kourouma, Ibrahima Faye, Diaraf Seck, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

Advanced study of wavy dynamical behavior of suspended living organisms in generalized nanomaterials with magnetic and buoyancy effects. [PDF]

Sci Rep
Ahmad L, Javed S, Zeb B, Khan U, Khashi'ie NS, Elattar S, Holali HO.   +6 more
europepmc   +1 more source

Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we model edge traffic with a conformable fractional partial differential equation that keeps memory in time and space. The solution represents a unit‐free attack pressure, built from a z‐scored edge series, a quiet period baseline, and a partially absorbing boundary that reflects scrubbing and rate limits.
Ahmad Alshanty, Waseem Ghazi Alshanti, Amjed Zraiqat, Roberto G. Ramírez-Chavarría   +3 more
wiley   +1 more source

Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]

J Sci Comput
Gómez S, Perinati C, Stocker P.
europepmc   +1 more source

From Empirical Models to Physics‐Informed Neural Networks: The Evolution of Oil Production Forecasting

Journal of GeoEnergy, Volume 2026, Issue 1, 2026.
Production forecasting for oil and gas wells is a decisive element of field‐development planning because it directly guides recovery strategy design, production optimisation and risk management. Conventional methods, including empirical decline‐curve analysis (DCA) and full‐physics numerical simulation, are limited either by their inability to capture ...
Shitan Yin, Erlong Yang, Xianjun Wang, Chi Dong, Mehdi Ostadhassan   +4 more
wiley   +1 more source

Analytical solutions of the time-fractional symmetric regularized long wave equation using the [Formula: see text] model expansion method. [PDF]

Sci Rep
Aldwoah K, Eljaneid N, Younis B, Alsharafi M, Osman O, Muflh B.   +5 more
europepmc   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source

Temporal neural operator for modeling time-dependent physical phenomena. [PDF]

Sci Rep
Diab W, Al Kobaisi M.
europepmc   +1 more source

Legendre Transform Dual Asymptotic Solution for Insurers Under the Heston Local‐Stochastic Volatility Model: A Comparison of Variance Premium and Expected Value Principles

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines optimal investment and reinsurance strategies for two competing insurers who are concerned with their relative performance. Each insurer can purchase reinsurance and invest in a financial market consisting of one risk‐free asset and one risky asset, with the risky asset’s price modeled using the Heston local‐stochastic volatility ...
Winfrida Felix Mwigilwa, Nian-Sheng Tang
wiley   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source