Error control in Adomian's decomposition method applied to the time-dependent Gross–Pitaevskii equation
DOI10.1080/00207160601173589zbMath1115.65105OpenAlexW2050785413MaRDI QIDQ3438805
U. Al Khawaja, Kamel Al-Khaled
Publication date: 29 May 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160601173589
numerical examplessolitonserror controlAdomian decomposition methodGross-Pitaevskii equationsolitary wave solutions
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (1)
Cites Work
- A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
- A review of the decomposition method in applied mathematics
- A comparison between Adomian decomposition method and Taylor series method in the series solutions
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- A new approach to the wave equation - an application of the decomposition method
- A modification of Adomian's solution for nonlinear oscillatory systems
- Application of the decomposition method to the solution of the reaction- convection-diffusion equation
- On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
- Nonperturbative approximate solution for Lane–Emden equation
- Structure of a quantized vortex in boson systems
- Convergence of Adomian's Method
- Multisymplectic geometry, covariant Hamiltonians, and water waves
This page was built for publication: Error control in Adomian's decomposition method applied to the time-dependent Gross–Pitaevskii equation
