Solution of wave equation by Adomian decomposition method and the restrictions of the method.
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Publication:1426190
DOI10.1016/S0096-3003(03)00186-3zbMath1038.65100OpenAlexW2082318601MaRDI QIDQ1426190
Publication date: 14 March 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00186-3
Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (10)
Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition ⋮ Investigation of a novel perforation technique in petroleum wells-perforation by drilling ⋮ Solving generalized wave and heat equations using linear canonical transform and sampling formulae ⋮ The decomposition method for linear, one-dimensional, time-dependent partial differential equations ⋮ Solution of wave equation in radial form by VIM ⋮ The decomposition method for initial value problems ⋮ An analytical approximation to the solution of a wave equation by a variational iteration method ⋮ A new iterative method to compute nonlinear equations ⋮ Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method ⋮ The restrictions and improvement of the Adomian decomposition method
Cites Work
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- Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
- Solving frontier problems of physics: the decomposition method
- Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method.
- An alternate algorithm for computing Adomian polynomials in special cases
- Solution of nonlinear equations by modified Adomian decomposition method
- A global method for solution of complex systems
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