Results 11 to 20 of about 739,005 (270)

Semi-analytical Solution of Dirac equation in Schwarzschild Geometry [PDF]

Classical and Quantum Gravity, 1999
Separation of the Dirac equation in the spacetime around a Kerr black hole into radial and angular coordinates was done by Chandrasekhar in 1976. In the present paper, we solve the radial equations in a Schwarzschild geometry semi-analytically using ...
Abramowitz M, Banibrata Mukhopadhyay, Chakrabarti S K, Chandrasekhar S, Chandrasekhar S, Davydov A M, Goldberg J N, Jin W M, Mathews J, Newman E, Sandip K Chakrabarti   +10 more
core   +5 more sources

Semi-Analytical Solution of the $\phi^4$ Theory on an $F_4$ Lattice [PDF]

Nuclear Physics B, 1993
Investigating the cutoff dependence of the Higgs mass triviality bound, the $\phi^4$ theory is formulated on an $F_4$ lattice which preserves Lorentz invariance to a higher degree than the commonly used hypercubic lattice.
Aizenman, Aizenman, Baker, Bhanot, Bhanot, Callaway, Dashen, Frölich, Gaunt, Hasenfratz, Heller, Heller, Heller, Khanot, Klomfass, Kuti, Lang, Lang, Lüscher, Lüscher, Lüscher, Lüscher, Lüscher, Markus Klomfass, Moore, Neuberger, Neuberger, Wilson, Wilson, Wortis   +29 more
core   +2 more sources

Semi‐analytical solution of solute dispersion model in semi‐infinite media

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2022
AbstractThe advection–dispersion equation (ADE) is one of the most widely used methods for estimating natural stream pollution at different locations and times. In this paper, variational iteration method (VIM) is utilized to obtain a semi‐analytical solution for 1D ADE in a temporally dependent solute dispersion within uniformsteady flow.
Poorya Taghvaei, Hanif Pourshahbaz, Jaan H. Pu, Manish Pandey, Vahid Pourshahbaz, Saeed Abbasi, Nafiseh Tofangdar   +6 more
openaire   +2 more sources

Semi-analytic solutions of nonlinear multidimensional fractional differential equations

Mathematical Biosciences and Engineering, 2022
<abstract><p>In this paper, the Adomian decomposition method (ADM) and Picard technique are used to solve a class of nonlinear multidimensional fractional differential equations with Caputo-Fabrizio fractional derivative. The main advantage of the Caputo-Fabrizio fractional derivative appears in its non-singular kernel of a convolution type.
Monica Botros, E. A. A. Ziada, I. L. El‐Kalla   +2 more
openaire   +4 more sources

Noncircular Cavity Expansion in Undrained Soil: Semi-Analytical Solution

Journal of Engineering Mechanics, 2022
The cavity expansion approach has been a popular tool to interpret a wide range of geotechnical problems over the last several decades. Most previous research focused on the expansion of cylindrical and/or spherical cavities, whereas nonstandard cavities have received much less attention.
Zhou, H, Sheil, B, Liu, H
openaire   +2 more sources

Fuzzy Analytical Solution for the Case of a Semi-Infinite Unconfined Aquifer

Environmental Sciences Proceedings, 2023
The solution to the second-order fuzzy unsteady nonlinear partial differential one-dimensional Boussinesq equation is examined. The physical problem concerns unsteady flow in a semi-infinite, unconfined aquifer bordering a lake.
Christos Tzimopoulos, Nikiforos Samarinas, Kyriakos Papadopoulos, Christos Evangelides   +3 more
doaj   +1 more source

Asymmetrical PZT applied to active reduction of asymmetrically vibrating beam – semi-analytical solution [PDF]

Archives of Acoustics, 2022
The article extended the idea of active vibration reduction of beams with symmetric modes to beams with asymmetric modes. In the case of symmetric modes, the symmetric PZT (s-PZT) was used, and the optimization of the problem led to the location of the s-
Adam Brański, Romuald Kuras
doaj   +1 more source

On the General Analytical Solution of the Kinematic Cosserat Equations [PDF]

, 2016
Based on a Lie symmetry analysis, we construct a closed form solution to the kinematic part of the (partial differential) Cosserat equations describing the mechanical behavior of elastic rods.
D Michels, D Michels, D Robertz, DL Michels, DQ Cao, E Cosserat, F Boyer, F Oliveri, I Riedel-Kruse, J Ainley, J Butcher, J Carminati, J Elgeti, JM Thomas, R Cortez, R Goldstein, R Granger, RTM Filho, SS Antman, T Bächler, W Hereman, WM Seiler, Y Blinkov   +22 more
core   +2 more sources

HEDSATS: High energy density semi-analytical thermal solutions

SoftwareX, 2019
HEDSATS is a mathematical simulation library designed for the modelling of the 3D transient heat equation due to the application of various distributed volumetric heat sources, representative of advanced manufacturing processes. The library constructs 3D solutions using one dimensional Green’s functions, convoluted by the heat distribution in ...
Flint, Thomas, Smith, Michael
openaire   +3 more sources

A Semi-Analytical Approach for the Approximate Solution of Casting-Mould Heterogeneous System [PDF]

Computational Algorithms and Numerical Dimensions, 2022
In this work, we study the Variational Iteration Method (VIM) accompanied by He's polynomials for obtaining the solution of the temperature distribution in the casting-mould heterogeneous system with fractional order.
Muhammad Nadeem
doaj   +1 more source