Physics-informed neural network and numerical analysis of Maxwell nanofluid flow over a stretching surface with induced magnetic field and variable properties.

Συγγραφείς: Ali, Mohsin, Yaseen, Lubaba, Abbas, Nadeem, Hassan, Ahmad, Shatanawi, Wasfi

Πηγή: Canadian Journal of Physics; 7/8/2026, Vol. 104, p1-12, 12p

Θεματικοί όροι: Numerical analysis, Artificial neural networks, Viscosity, Surfaces (Physics), Magnetic flux, Fluid flow, Numerical solutions to boundary value problems, Thermal conductivity

Meshless IEFGM‐Based Numerical Modeling of Grounding Systems With Counterpoise Wires.

Συγγραφείς: Resende, Ursula C.¹ (AUTHOR) resendeursula@cefetmg.br, Vieira, Jean L. M.¹ (AUTHOR), Amorim, Victor G. L. C.¹ (AUTHOR)

Πηγή: International Journal of Numerical Modelling. Jan/Feb2026, Vol. 39 Issue 1, p1-9. 9p.

Θεματικοί όροι: *Electric current grounding, *Numerical solutions to boundary value problems, *Iterative methods (Mathematics), *Electric transients, *Computer simulation, *Earth resistance (Geophysics)

Numerical investigation of micropolar trihybrid nanofluid transport in porous media.

Συγγραφείς: Verma, Divya, Mehta, Ruchika

Πηγή: Interactions (30050731); 9/19/2026, Vol. 247 Issue 1, p1-28, 28p

Θεματικοί όροι: Nanofluids, Mass transfer, Numerical solutions to boundary value problems, Numerical analysis, Nanofluidics, Porous materials, Similarity transformations, Energy transfer

Random walk on boundary with iterative refinement for solving interior Dirichlet and exterior Neumann problems for the modified Helmholtz equation.

Συγγραφείς: Sabelfeld, Karl K., Shalimova, Irina

Πηγή: Monte Carlo Methods & Applications; Sep2026, Vol. 32 Issue 3, p259-277, 19p

Θεματικοί όροι: Neumann problem, Helmholtz equation, Iterative methods (Mathematics), Numerical solutions to boundary value problems, Numerical analysis, Meshfree methods, Boundary value problems

Numerical simulation of MHD Carreau bio-magnetic dusty hybrid nano fluid flow over a rotating disk: machine learning approach.

Συγγραφείς: Karuppiah, Santhi, Govindaram, Anitha, Reddy Reddisekhar Reddy, Seethi, Jayapal, Jegan

Πηγή: International Journal of Computer Mathematics; Aug2026, Vol. 103 Issue 8, p1583-1611, 29p

Θεματικοί όροι: Nanofluids, Fluid flow, Fluid dynamics, Numerical solutions to boundary value problems, Heat flux, Heat transfer coefficient, Rotating disks, Computational fluid dynamics

Numerical solution of nonclassical boundary value problems.

Συγγραφείς: Boito, Paola¹ (AUTHOR) paola.boito@unipi.it, Eidelman, Yuli² (AUTHOR) eideyu@tauex.tau.ac.il, Gemignani, Luca¹ (AUTHOR) luca.gemignani@unipi.it

Πηγή: Numerical Algorithms. Oct2025, Vol. 100 Issue 2, p745-768. 24p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Computational mathematics, *Banach spaces, *Operator functions, *Matrix functions

Neural network and thermodynamic optimization of magnetized hybrid nanofluid dissipative radiative convective flow with energy activation.

Συγγραφείς: Ferdows, M.¹ (AUTHOR) ferdows@du.ac.bd, Ahmed, Muktadir¹ (AUTHOR), Bhuiyan, M. A.² (AUTHOR), Bég, O. Anwar³ (AUTHOR) o.a.beg@salford.ac.uk, Çolak, Andaç Batur⁴ (AUTHOR), Leonard, H.J³ (AUTHOR)

Πηγή: Numerical Heat Transfer: Part A -- Applications. 2025, Vol. 86 Issue 15, p5375-5409. 35p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Nusselt number, *Thermal boundary layer, *Convective flow, *Porous materials, *Free convection

On strengthening of materials with one central crack.

Συγγραφείς: Adilov, Farkhadjan^1,2 (AUTHOR) mahzun86@gmail.com, Turdibekov, Javlonbek¹ (AUTHOR) javlonbek.turdibekov9@gmail.com

Πηγή: AIP Conference Proceedings. 2025, Vol. 3265 Issue 1, p1-9. 9p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Boundary element methods, *Stress concentration, *Crack propagation, *Surface cracks

SOME BOUNDARY VALUE PROBLEMS FOR THE INHOMOGENEOUS CAUCHY-RIEMANN EQUATION IN INTERSECTION OF TWO CIRCLES WITH SAME RADIUS.

Alternate Title: Бiрдей радиусты екi шеңбердiң қиылысуындағы бiртектi емес Коши-Риман теңдеуi үшiн кейбiр шеттiк есептер (Kazakh)
Некоторые краевые задачи для неоднородного уравнения Коши-Римана на пересечении двух окружностей с одинакового радиуса (Russian)

Συγγραφείς: Koshanov, B. D., Alpeis, N. P., Kitapbaeva, B. T.

Πηγή: Journal of Mathematics, Mechanics & Computer Science; 2026, Vol. 131 Issue 3, p47-60, 14p

Θεματικοί όροι: Boundary value problems, Cauchy-Riemann equations, Cauchy integrals, Numerical solutions to boundary value problems, Schwarz function, Partial differential equations

AI-driven investigation of heat transfer in radiative magnetized micropolar nanofluid flow between rotating disks.

Συγγραφείς: Algehyne, Ebrahem A., Ahmed, Safa Elshaikh Saad, Osman, Osman Abdalla Adam, Alamrani, Fahad Maqbul, Saeed, Anwar, Bognár, Gabriella

Πηγή: Journal of Thermal Analysis & Calorimetry; Jul2026, Vol. 151 Issue 13, p10763-10781, 19p

Θεματικοί όροι: Artificial neural networks, Computer simulation of heat transfer, Numerical solutions to boundary value problems, Reynolds number, Rotating disks, Porous materials, Nanofluids, Heat radiation & absorption

Pollutant dispersion of Jeffrey tetra hybrid nanofluid flow with a nonlinear surplus expulsion concentration.

Συγγραφείς: Bhargavi, Dhanekula Naga, Latha, Kommineni Madhavi, Gangadhar, Kotha, Kumar, Pallamkuppam Vinodh

Πηγή: Modern Physics Letters B; 5/20/2026, Vol. 40 Issue 14, p1-17, 17p

Θεματικοί όροι: Nanofluids, Fluid dynamics, Numerical solutions to boundary value problems, Heat radiation & absorption, Ethylene glycols, Magnetic field effects, Heat convection

The study of nanofluid flow with motile microorganism and thermal slip condition across a vertical permeable surface.

Συγγραφείς: Algehyne, Ebrahem A.^1,2 (AUTHOR), Alhusayni, Yasir Y.¹ (AUTHOR), Tassaddiq, Asifa³ (AUTHOR), Saeed, Anwar⁴ (AUTHOR) anwarsaeed769@gmail.com, Bilal, Muhammad⁵ (AUTHOR) bilalchd345@gmail.com

Πηγή: Waves in Random & Complex Media. Jun2025, Vol. 35 Issue 3, p5552-5569. 18p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Heat radiation & absorption, *Nonlinear equations, *Nusselt number, *Prandtl number

Significance of aggregation of nanoparticles, activation energy, and Hall current to enhance the heat transfer phenomena in a nanofluid: a sensitivity analysis.

Συγγραφείς: Rana, Puneet¹ (AUTHOR) puneetranaiitr@gmail.com, Mahanthesh, B.² (AUTHOR), Thriveni, K.² (AUTHOR), Muhammad, Taseer³ (AUTHOR)

Πηγή: Waves in Random & Complex Media. Jun2025, Vol. 35 Issue 3, p4820-4842. 23p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Finite difference method, *Nanoparticles, *Activation energy, *Response surfaces (Statistics)

Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations.

Συγγραφείς: Ben-Artzi, M.¹ (AUTHOR) mbartzi@math.huji.ac.il, Eidelman, Y.² (AUTHOR) eideyu@tauex.tau.ac.il, Fishelov, D.³ (AUTHOR) fishelov@gmail.com

Πηγή: Numerical Algorithms. Feb2025, Vol. 98 Issue 2, p625-649. 25p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Low-rank matrices, *Numerical solutions to the Dirichlet problem, *Numerical solutions for linear algebra, *Finite differences, *Biharmonic equations

Diffusion and Deposition of Brownian Particles in the Boundary Layer in Flow of a Dispersed Mixture Past a Permeable Surface.

Συγγραφείς: Amanbaev, T. R.¹ (AUTHOR) tulegen_amanbaev@mail.ru

Πηγή: Fluid Dynamics. Feb2025, Vol. 60 Issue 1, p1-17. 17p.

Θεματικοί όροι: *Numerical solutions to boundary value problems, *Dirac function, *Boundary layer (Aerodynamics), *Boundary value problems, *Fluid injection

Thermo‐Solutal Stratification Effects on Buongiorno's Magnetized Slip Influenced Maxwell Nanofluid Flow With Non‐Uniform Thermal Source/Sink.

Συγγραφείς: Basha, Hussain, Naduvinamani, N. B., M, Shridhar

Πηγή: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Apr2026, Vol. 106 Issue 4, p1-30, 30p

Θεματικοί όροι: Nanofluids, Magnetic field effects, Numerical solutions to boundary value problems, Boundary value problems, Laminar boundary layer, Heat sinks (Electronics)

Positive Solutions for a Class of Two-term Fractional q-derivative Boundary Value Problems with an Integral Condition.

Συγγραφείς: Castro, L. P.

Πηγή: Differential Equations & Dynamical Systems; Apr2026, Vol. 34 Issue 2, p499-524, 26p

Θεματικοί όροι: Boundary value problems, Fractional calculus, Fractional integrals, Numerical solutions to boundary value problems, Nonlinear differential equations, Lipschitz continuity

Local thermal non-equilibrium analysis of darcy forchheimer 3D flow of ellis hybrid nanofluid with marangoni convection and soret-dufour effects.

Συγγραφείς: Abbas, Munawar, Alotaibi, Hammad, Norberdiyeva, Muyassar, Faqihi, Abdullah A., Gómez-Aguilar, J. F., Ali, Ali Hasan

Πηγή: Journal of Thermal Analysis & Calorimetry; Mar2026, Vol. 151 Issue 5, p4339-4349, 11p

Θεματικοί όροι: Nanofluids, Marangoni effect, Local thermodynamic equilibrium, Heat transfer coefficient, Numerical solutions to boundary value problems

Chebfun in Numerical Analytic Continuation of Solutions to Second Order BVPs on Unbounded Domains.

Συγγραφείς: Gheorghiu, Călin-Ioan, Grigoriciuc, Eduard S.

Πηγή: Foundations (2673-9321); Mar2026, Vol. 6 Issue 1, p4, 16p

Θεματικοί όροι: Boundary value problems, Numerical solutions to boundary value problems, Numerical analysis, Chebyshev approximation, Traveling waves (Physics)

Wavelet Based Galerkin Method for the Numerical Solution of Singular Boundary Value Problems using Fibonacci Wavelets.

Συγγραφείς: Angadi, L. M.¹ angadi.lm@gmail.com

Πηγή: Journal of Scientific Research. 2025, Vol. 17 Issue 1, p227-234. 8p.

Θεματικοί όροι: *Numerical solutions to differential equations, *Numerical solutions to boundary value problems, *Boundary value problems, *Galerkin methods, *Gas dynamics