@article{MTMT:34237297,
	title = {The Formulation of Scaling Expansion in an Euler-Poisson Dark-Fluid Model},
	url = {https://m2.mtmt.hu/api/publication/34237297},
	author = {Szigeti, Balázs Endre and Barna, Imre Ferenc and Barnaföldi, Gergely Gábor},
	doi = {10.3390/universe9100431},
	journal-iso = {UNIVERSE-BASEL},
	journal = {UNIVERSE},
	volume = {9},
	unique-id = {34237297},
	year = {2023},
	eissn = {2218-1997},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34131465,
	title = {Investigation of incompressible boundary layers with viscous heat conduction},
	url = {https://m2.mtmt.hu/api/publication/34131465},
	author = {Barna, Imre Ferenc and Mátyás, László},
	doi = {10.1063/5.0162203},
	journal-iso = {AIP CONF PROC},
	journal = {AIP CONFERENCE PROCEEDINGS},
	volume = {2849},
	unique-id = {34131465},
	issn = {0094-243X},
	year = {2023},
	eissn = {1551-7616},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34130039,
	title = {Heat and mass transfer of nanofluids containing metallic nanoparticles},
	url = {https://m2.mtmt.hu/api/publication/34130039},
	author = {Hriczó, Krisztián and Barna, Imre Ferenc},
	doi = {10.1063/5.0162391},
	journal-iso = {AIP CONF PROC},
	journal = {AIP CONFERENCE PROCEEDINGS},
	volume = {2849},
	unique-id = {34130039},
	issn = {0094-243X},
	year = {2023},
	eissn = {1551-7616},
	orcid-numbers = {Hriczó, Krisztián/0000-0003-3298-6495; Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34125315,
	title = {Investigation of mixed convection nanofluid flow over vertical permeable circular cylinder},
	url = {https://m2.mtmt.hu/api/publication/34125315},
	author = {Vadászné Bognár, Gabriella and Barna, Imre Ferenc and Hriczó, Krisztián},
	doi = {10.1063/5.0162394},
	journal-iso = {AIP CONF PROC},
	journal = {AIP CONFERENCE PROCEEDINGS},
	volume = {2849},
	unique-id = {34125315},
	issn = {0094-243X},
	year = {2023},
	eissn = {1551-7616},
	orcid-numbers = {Vadászné Bognár, Gabriella/0000-0002-4070-1376; Barna, Imre Ferenc/0000-0001-6206-3910; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:34071100,
	title = {Diatomic molecule in a strong infrared laser field: level-shifts and bond-length change due to laser-dressed Morse potential},
	url = {https://m2.mtmt.hu/api/publication/34071100},
	author = {Varró, Sándor and Hack, Szabolcs and Paragi, Gábor and Földi, Péter and Barna, Imre Ferenc and Czirják, Attila},
	doi = {10.1088/1367-2630/acde9e},
	journal-iso = {NEW J PHYS},
	journal = {NEW JOURNAL OF PHYSICS},
	volume = {25},
	unique-id = {34071100},
	issn = {1367-2630},
	abstract = {We present a general mathematical procedure to handle interactions described by a Morse potential in the presence of a strong harmonic excitation. We account for permanent and field-induced terms and their gradients in the dipole moment function, and we derive analytic formulae for the bond-length change and for the shifted energy eigenvalues of the vibrations, by using the Kramers-Henneberger frame. We apply these results to the important cases of H-2 and LiH, driven by a near- or mid-infrared laser in the 10(13) W cm(-2) intensity range.},
	keywords = {DISSOCIATION; DENSITY; POLARIZABILITIES; Equation; Molecular vibrations; BASIS-SETS; EARLY UNIVERSE; Vibrational levels; strong-field phenomena; Lithium hydride; off-resonant excitation; Kramers-Henneberger frame},
	year = {2023},
	eissn = {1367-2630},
	orcid-numbers = {Varró, Sándor/0000-0002-7246-7369; Hack, Szabolcs/0000-0003-0313-8841; Paragi, Gábor/0000-0001-5408-1748; Földi, Péter/0000-0002-0311-3532; Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34062195,
	title = {Even and Odd Self-Similar Solutions of the Diffusion Equation for Infinite Horizon},
	url = {https://m2.mtmt.hu/api/publication/34062195},
	author = {Matyas, Laszlo and Barna, Imre Ferenc},
	doi = {10.3390/universe9060264},
	journal-iso = {UNIVERSE-BASEL},
	journal = {UNIVERSE},
	volume = {9},
	unique-id = {34062195},
	abstract = {In the description of transport phenomena, diffusion represents an important aspect. In certain cases, the diffusion may appear together with convection. In this paper, we study the diffusion equation with the self-similar Ansatz. With an appropriate change of variables, we have found an original new type of solution of the diffusion equation for infinite horizon. We derive novel even solutions of diffusion equation for the boundary conditions presented. For completeness, the odd solutions are also mentioned as well, as part of the previous works. We have found a countable set of even and odd solutions, of which linear combinations also fulfill the diffusion equation. Finally, the diffusion equation with a constant source term is discussed, which also has even and odd solutions.},
	keywords = {Partial differential equations; Astronomy & Astrophysics; diffusion and thermal diffusion},
	year = {2023},
	eissn = {2218-1997},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34052884,
	title = {Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies},
	url = {https://m2.mtmt.hu/api/publication/34052884},
	author = {AL-JANABI, HUMAM KAREEM JALGHAF and Kovács, Endre and Barna, Imre Ferenc and Mátyás, László},
	doi = {10.3390/computation11070131},
	journal-iso = {COMPUTATION},
	journal = {COMPUTATION},
	volume = {11},
	unique-id = {34052884},
	abstract = {New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally stable finite difference methods. After this, real experimental data from the literature regarding a heated cylinder are reproduced using the explicit numerical methods as well as using Finite Element Methods (FEM) ANSYS workbench. Convection and nonlinear radiation are also considered on the boundary of the cylinder. The verification results showed that the numerical methods have a high accuracy to deal with cylindrical and spherical bodies; also, the comparison of the temperatures for all approaches showed that the explicit methods are more accurate than the commercial software.},
	year = {2023},
	eissn = {2079-3197},
	orcid-numbers = {AL-JANABI, HUMAM KAREEM JALGHAF/0000-0002-3901-3410; Kovács, Endre/0000-0002-0439-3070; Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:34041856,
	title = {Analytical and Numerical Results for the Diffusion-Reaction Equation When the Reaction Coefficient Depends on Simultaneously the Space and Time Coordinates},
	url = {https://m2.mtmt.hu/api/publication/34041856},
	author = {Al-Magsoosi, Ali Habeeb Askar and Nagy, Ádám and Barna, Imre Ferenc and Kovács, Endre},
	doi = {10.3390/computation11070127},
	journal-iso = {COMPUTATION},
	journal = {COMPUTATION},
	volume = {11},
	unique-id = {34041856},
	abstract = {We utilize the travelling-wave Ansatz to obtain novel analytical solutions to the linear diffusion–reaction equation. The reaction term is a function of time and space simultaneously, firstly in a Lorentzian form and secondly in a cosine travelling-wave form. The new solutions contain the Heun functions in the first case and the Mathieu functions for the second case, and therefore are highly nontrivial. We use these solutions to test some non-conventional explicit and stable numerical methods against the standard explicit and implicit methods, where in the latter case the algebraic equation system is solved by the preconditioned conjugate gradient and the GMRES solvers. After this verification, we also calculate the transient temperature of a 2D surface subjected to the cooling effect of the wind, which is a function of space and time again. We obtain that the explicit stable methods can reach the accuracy of the implicit solvers in orders of magnitude shorter time.},
	year = {2023},
	eissn = {2079-3197},
	orcid-numbers = {Nagy, Ádám/0000-0001-9578-3199; Barna, Imre Ferenc/0000-0001-6206-3910; Kovács, Endre/0000-0002-0439-3070}
}

@article{MTMT:33773520,
	title = {Ab Initio Double-Differential Ionization Cross-Section Calculations in Antiproton–Helium Collisions},
	url = {https://m2.mtmt.hu/api/publication/33773520},
	author = {Barna, Imre Ferenc and Pocsai, Mihály András and Tőkési, Károly},
	doi = {10.3390/atoms11040074},
	journal-iso = {ATOMS},
	journal = {ATOMS},
	volume = {11},
	unique-id = {33773520},
	abstract = {We present ionization cross-sections for antiproton and helium collisions based on an ab initio time-dependent coupled channel method. In our calculations, a finite basis set of regular helium Coulomb wave packets and Slater function were used. The semiclassical approximation was applied with the time-dependent Coulomb potential to describe the antiproton–electron interaction. Three different projectile energies were considered as 10, 50 and 100 keV. We found clear evidence for the formation of the anti-cusp in the differential distributions.},
	keywords = {IONIZATION; Antiproton; ab initio time-dependent coupled channel method; anti-cusp},
	year = {2023},
	eissn = {2218-2004},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743; Tőkési, Károly/0000-0001-8772-8472}
}

@article{MTMT:33723054,
	title = {Analytical and Numerical Results for the Transient Diffusion Equation with Diffusion Coefficient Depending on Both Space and Time},
	url = {https://m2.mtmt.hu/api/publication/33723054},
	author = {Saleh, Mahmoud and Kovács, Endre and Barna, Imre Ferenc},
	doi = {10.3390/a16040184},
	journal-iso = {ALGORITHMS},
	journal = {ALGORITHMS},
	volume = {16},
	unique-id = {33723054},
	abstract = {The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self-similar Ansatz. Then, the analytical solution for two different sets of parameters is reproduced by 18 explicit numerical methods. Fourteen of these time integrators are recent unconditionally stable algorithms, which are often much more efficient than the mainstream explicit methods. Finally, the adaptive time-step version of some of these algorithms are created and tested versus widespread algorithms, such as the Runge–Kutta–Fehlberg solver.},
	keywords = {DIFFUSION; heat conduction; Analytical solution; Explicit time integration; unconditionally stable numerical methods; adaptive step size controllers},
	year = {2023},
	eissn = {1999-4893},
	orcid-numbers = {Kovács, Endre/0000-0002-0439-3070; Barna, Imre Ferenc/0000-0001-6206-3910}
}