Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation
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Publication:2342494
DOI10.1186/s13661-015-0328-2zbMath1320.65119OpenAlexW1978589184WikidataQ59435391 ScholiaQ59435391MaRDI QIDQ2342494
Y. J. Wang, Lu-Ming Zhang, Xin-Tian Pan
Publication date: 28 April 2015
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-015-0328-2
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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A linearly convergent algorithm for sparse signal reconstruction ⋮ Unnamed Item ⋮ Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions ⋮ A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation ⋮ A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain ⋮ Numerical solutions of generalized <scp>Rosenau–KDV–RLW</scp> equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization ⋮ A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation ⋮ Dynamic analysis of wave scenarios based on enhanced numerical models for the good Boussinesq equation ⋮ Numerical solution of the generalized, dissipative KdV-RLW-Rosenau equation with a compact method ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ Optimal decay rates of the dissipative shallow water waves modeled by coupling the rosenau-RLW equation and the rosenau-Burgers equation with power of nonlinearity
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