A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms

DOI10.4208/jcm.1603-m2014-0193zbMath1374.65153OpenAlexW2523129371MaRDI QIDQ5276754

Zhuo Zhang, Zhi-Yao Song, Fu-Qiang Lu

Publication date: 14 July 2017

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5d58d0560fe16a8ceba8f3acd2fa0a07557f7cc6

zbMATH Keywords

numerical experimentsPadé approximationinitial boundary value problemsRunge-Kutta methodsemidiscretizationcompact finite difference methodimproved Boussinesq equationsoliton-type solutionsStokes dampinghydrodynamic damping

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation ⋮ Efficient and accurate numerical methods for nonlinear strongly damped wave equation in 2+1 dimensions ⋮ On the \(L^{\infty}\)-convergence of two conservative finite difference schemes for fourth-order nonlinear strain wave equations

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