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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Curvelets, Wave Atoms, and Wave Equations [PDF]
, 2006 We argue that two specific wave packet families---curvelets and wave atoms---provide powerful tools for representing linear systems of hyperbolic differential equations with smooth, time-independent coefficients.
Demanet, Laurent
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Propulsion and Power Research, 2017 This work obtains the disguise version of exact solitary wave solutions of the generalized (2+1)-dimensional Zakharov-Kuznetsov–Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method (MSE)
Harun-Or Roshid +3 more
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Results in Physics, 2023 In this article, the nonlinear fractional Kudryashov’s equation and the space–time fractional nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary equation method, which yields innovative analytical solutions using β and M ...
Riaz Ur Rahman +5 more
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Abstract and Applied Analysis, 2014 Two nonstandard finite difference schemes are derived to solve the regularized long wave equation. The criteria for choosing the “best” nonstandard approximation to the nonlinear term in the regularized long wave equation come from considering the ...
E. Momoniat
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Spin-projected charge conductance in SNN junctions with noncentrosymmetric superconductors
Physical Review Research, 2023 A superconductor–normal-metal–normal-metal junction in which the superconducting potential is a mixture between s-wave and p-wave potentials is investigated using the Usadel equation equipped with Tanaka-Nazarov boundary conditions.
T. H. Kokkeler, Y. Tanaka, A. A. Golubov
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Koopman Operator and Path Integral of Quantum Free-Electron Laser Model
Mathematics, 2022 A quantum model of a free-electron laser (FEL) is considered. Two different approaches for the exploration of the the FEL system are considered. In the first case, the Heisenberg equations of motion are mapped on the basis of the initial wave functions ...
Alexander Iomin
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Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
International Journal of Geophysics, 2012 Most of the wavefield downward continuation migration approaches are relying on one-way wave equations, which move the seismic energy always in one direction along depth. The one-way downward continuation migrations only use the primaries for imaging and do not treat secondary reflections recorded on the surface correctly. In this paper, we investigate
Bangyu Wu, Ru-Shan Wu, Jinghuai Gao
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, 2013 Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao +3 more
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Numerical Stability and Dispersion Analysis of Finite-Difference Schemes for Wave Equation Time Migration [PDF]
Brazilian Journal of GeophysicsWe exploit finite-difference method schemes to solve the wave equation within the migrated time-domain, offering a robust alternative to traditional depth-domain imaging method.
Alexandre W. Camargo +2 more
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