A linear difference scheme for dissipative symmetric regularized long wave equations with damping term.
Hu, Jinsong, Xu, Youcai, Hu, Bing (2010)
Boundary Value Problems [electronic only]
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Displaying similar documents to “C-N difference schemes for dissipative symmetric regularized long wave equations with damping term.”
A linear difference scheme for dissipative symmetric regularized long wave equations with damping term.
A new conservative difference scheme for the general Rosenau-RLW equation.
Zuo, Jin-Ming, Zhang, Yao-Ming, Zhang, Tian-De, Chang, Feng (2010)
Boundary Value Problems [electronic only]
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Two conservative difference schemes for the generalized Rosenau equation.
Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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The numerical convergence of the Landau-Lifshitz equations and its simulation.
Zhong, Penghong, Wang, Shu, Wang, Ke, Bai, Yiping (2010)
Discrete Dynamics in Nature and Society
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Halim, A. A., Kshevetskii, S. P., Leble, S. B. (2003)
International Journal of Mathematics and Mathematical Sciences
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Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrödinger equation.
Goubet, Olivier, Hussein, Manal (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation.
Liang, Zongqi (2009)
Discrete Dynamics in Nature and Society
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Finite volume methods for the valuation of American options
Julien Berton, Robert Eymard (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.
Convergence of Fourier spectral method for resonant long-short nonlinear wave interaction
Abdur Rashid, Shakaib Akram (2010)
Applications of Mathematics
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In this paper, the evolution equations with nonlinear term describing the resonance interaction between the long wave and the short wave are studied. The semi-discrete and fully discrete Crank-Nicholson Fourier spectral schemes are given. An energy estimation method is used to obtain error estimates for the approximate solutions. The numerical results obtained are compared with exact solution and found to be in good agreement.