An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method
DOI10.1016/j.amc.2006.01.028zbMath1148.65083OpenAlexW2050457448MaRDI QIDQ5900351
No author found.
Publication date: 12 September 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.028
convergencenumerical examplesAdomian decomposition methodtraveling wave solutionmodified Kawahara equation
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Algorithms with automatic result verification (65G20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Cites Work
- A numerical comparison of a Kawahara equation
- Existence of perturbed solitary wave solutions to a model equation for water waves
- A review of the decomposition method in applied mathematics
- Solving frontier problems of physics: the decomposition method
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation.
- An application of the decomposition method for the generalized KdV and RLW equations
- New exact travelling wave solutions for the Kawahara and modified Kawahara equations
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- On the solution of the coupled Schrödinger-KdV equation by the decomposition method
- Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
- A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
- On a generalized fifth order KdV equation
- A new formulation of Adomian method
- New numerical study of Adomian method applied to a diffusion model
- On the solution of a korteweg-de vries like equation by the decomposition method