Results 21 to 30 of about 237,282 (288)

Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation

open access: yesAbstract and Applied Analysis, 2022
The ill-posed Helmholtz equation with inhomogeneous boundary deflection in a Hilbert space is regularized using the divergence regularization method (DRM).
Benedict Barnes   +2 more
doaj   +1 more source

Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy [PDF]

open access: yes, 2013
In this paper we develop high-order asymptotic-preserving methods for the spatially inhomogeneous quantum Boltzmann equation. We follow the work in Li and Pareschi, where asymptotic preserving exponential Runge-Kutta methods for the classical ...
Hu, Jingwei, Li, Qin, Pareschi, Lorenzo
core   +3 more sources

Application of DRBEM for 2D sine-Gordon equation

open access: yesJournal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj   +1 more source

Spectral and formal stability criteria of spatially inhomogeneous stationary solutions to the Vlasov equation for the Hamiltonian mean-field model [PDF]

open access: yes, 2013
Stability of spatially inhomogeneous solutions to the Vlasov equation is investigated for the Hamiltonian mean-field model to provide the spectral stability criterion and the formal stability criterion in the form of necessary and sufficient conditions ...
Ogawa, Shun
core   +2 more sources

Euler–Darboux–Poisson Equation in Context of the Traveling Waves in a Strongly Inhomogeneous Media

open access: yesMathematics, 2023
The existence of traveling waves in an inhomogeneous medium is a vital problem, the solution of which can help in modeling the wave propagation over long distances. Such waves can be storm waves or tsunami waves in the seas and oceans.
Ioann Melnikov, Efim Pelinovsky
doaj   +1 more source

Bessel's Differential Equation and Its Hyers-Ulam Stability

open access: yesJournal of Inequalities and Applications, 2007
We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel differential equation.
Soon-Mo Jung, Byungbae Kim
doaj   +2 more sources

Poisson structures on the Poincare group

open access: yes, 1996
An introduction to inhomogeneous Poisson groups is given. Poisson inhomogeneous $O(p,q)$ are shown to be coboundary, the generalized classical Yang-Baxter equation having only one-dimensional right hand side.
Zakrzewski, S.
core   +2 more sources

Trefftz method for large deflection of plates with application of evolutionary algorithms

open access: yesComputer Assisted Methods in Engineering and Science, 2022
The large deflection of thin plates by means of Berger equation is considered. An iterative solution of Berger equation by the method of fundamental solutions is proposed.
Tomasz Klekiel, Jan A. Kołodziej
doaj  

A simple method considering the synergetic effect of space charge and inhomogeneous material conductivity for DC electric field computation

open access: yesHigh Voltage, 2022
The current continuity equation is usually applied to solve DC electric field distribution when there is inhomogeneous material conductivity due to temperature gradient or multi‐layer dielectrics.
Xiao Yang   +6 more
doaj   +1 more source

Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

open access: yes, 2007
Equation for evolution of the four-component Stokes vector in weakly anisotropic and smoothly inhomogeneous media is derived on the basis of quasi-isotropic approximation of the geometrical optics method, which provides consequent asymptotic solution of ...
Azzam   +33 more
core   +1 more source

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