Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
10.22052/scj.2024.253459.1178
Abstract
: In this paper, Galerkin method is proposed for the solution of the nonlinear Boussinesq partial differential equation describing water waves. The main idea in to use generalized Jacobi polynomials (GJPs) as basis functions to deal with spatial derivative such that boundary conditions are satisfied. Error estimate of proposed method is investigated and numerical results show the high accuracy and low CPU time of proposed method and confirmed the theoretical ones. Also, the obtained results show that the method is suitable for fourth order nonlinear and even partial differential equations.
Fakhari, H., & Mohebbi, A. (2023). Numerical simulation of water long waves modeled by nonlinear Boussinesq partial differential equation using a spectral approximation. Soft Computing Journal, (), -. doi: 10.22052/scj.2024.253459.1178
MLA
Hoorieh Fakhari; Akbar Mohebbi. "Numerical simulation of water long waves modeled by nonlinear Boussinesq partial differential equation using a spectral approximation". Soft Computing Journal, , , 2023, -. doi: 10.22052/scj.2024.253459.1178
HARVARD
Fakhari, H., Mohebbi, A. (2023). 'Numerical simulation of water long waves modeled by nonlinear Boussinesq partial differential equation using a spectral approximation', Soft Computing Journal, (), pp. -. doi: 10.22052/scj.2024.253459.1178
VANCOUVER
Fakhari, H., Mohebbi, A. Numerical simulation of water long waves modeled by nonlinear Boussinesq partial differential equation using a spectral approximation. Soft Computing Journal, 2023; (): -. doi: 10.22052/scj.2024.253459.1178
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