Results 51 to 60 of about 7,066 (206)

On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings

Axioms, 2023
In this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a cloud of strings.
Saulo S. de Albuquerque Filho, Valdir Barbosa Bezerra, Jefferson Morais Toledo   +2 more
doaj   +1 more source

On a solution of the Schrödinger equation with a hyperbolic double-well potential [PDF]

, 2015
Copyright © 2013 AIP PublishingWe report a solution of the one-dimensional Schrödinger equation with a hyperbolic double-well confining potential via a transformation to the so-called confluent Heun equation. We discuss the requirements on the parameters
Downing, C.A.
core   +1 more source

Polyhexanide, Povidone‐Iodine, and Hypochlorous Acid Show High In Vitro Antimicrobial Efficacy Against Pathogens Commonly Associated With Equine Infectious Keratitis

Veterinary Ophthalmology, Volume 29, Issue 1, January 2026.
ABSTRACT Objective To determine the in vitro antimicrobial activity of specific antiseptics against common equine ocular surface pathogens. Methods Staphylococcus aureus (S. aureus) (n = 12), Streptococcus equi subspecies zooepidemicus (S. zooepidemicus) (n = 9), Enterobacter hormaechei (E. hormaechei) (n = 6), and Bacillus cereus (B.
Leonie Maria Stolle, Hilke Oltmanns, Jessica Meißner, Frederik Heun, Ann‐Kathrin Schieder, Hinrich Tönjes Wolff, Bernhard Ohnesorge, Claudia Busse   +7 more
wiley   +1 more source

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste, Gaston Mandata N′Guerekata   +6 more
wiley   +1 more source

Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms

Mathematical Modelling and Analysis, 2020
The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar ansatz is analyzed. As a new feature additional analytic terms are added.
Imre F. Barna, Gabriella Bognár, Mohammed Guedda, László Mátyás, Krisztián Hriczó   +4 more
doaj   +1 more source

On the complete analytic structure of the massive gravitino propagator in four-dimensional de Sitter space

, 2009
With the help of the general theory of the Heun equation, this paper completes previous work by the authors and other groups on the explicit representation of the massive gravitino propagator in four-dimensional de Sitter space.
A. Basu, A. Erdelyi, A.D. Polyanin, B. Allen, B. Allen, B. Allen, B.S. De Witt, C. Snow, E. Kamke, E. Witten, E.G.C. Poole, G.E. Andrews, Giampiero Esposito, J.L. Synge, L. Anguelova, M. Abramowitz, R. Penrose, Raju Roychowdhury, W. Mück   +18 more
core   +1 more source

Orthogonal polynomials: From Heun equations to Painlevé equations

Journal of Mathematical Physics
In this paper, we study four kinds of polynomials: orthogonal with the singularly perturbed Gaussian weight wSPG(x), the deformed Freud weight wDF(x), the jumpy Gaussian weight wJG(x), and the Jacobi-type weight wJC(x). The second order linear differential equations satisfied by these orthogonal polynomials and the associated Heun equations are ...
Mengkun Zhu, Yuting Chen, Jianduo Yu, Chuanzhong Li   +3 more
openaire   +2 more sources

Toric Sasaki–Einstein manifolds and Heun equations [PDF]

Nuclear Physics B, 2006
Symplectic potentials are presented for a wide class of five dimensional toric Sasaki-Einstein manifolds, including L^{a,b,c} which was recently constructed by Cvetic et al. The spectrum of the scalar Laplacian on L^{a,b,c} is also studied. The eigenvalue problem leads to two Heun's differential equations and the exponents at regular singularities are ...
Oota, Takeshi, Yasui, Yukinori
openaire   +2 more sources

How Accurate is Richardson's Error Estimate?

Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.
ABSTRACT We consider the fundamental problem of estimating the difference between the exact value T$$ T $$ and approximations Ah$$ {A}_h $$ that depend on a single real parameter h$$ h $$. It is well‐known that if the error Eh=T−Ah$$ {E}_h=T-{A}_h $$ satisfies an asymptotic expansion, then we can use Richardson extrapolation to approximate Eh$$ {E}_h $$
Carl Christian Kjelgaard Mikkelsen, Lorién López‐Villellas   +1 more
wiley   +1 more source

The Heun equation and the Calogero-Moser-Sutherland system I: the Bethe Ansatz method

, 2002
We propose and develop the Bethe Ansatz method for the Heun equation. As an application, holomorphy of the perturbation for the BC_1 Inozemtsev model from the trigonometric model is proved.Comment: 31 pages ...
Takemura, Kouichi
core   +2 more sources