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- Title
AN APPROXIMATE SOLUTION FOR DIFFERENT TYPES OF WAVE PROBLEMS.
- Authors
Morteza Miansari; Amin Barari; Hessam Mirgolbabaei; Mohammad Javad Vahdatirad
- Abstract
In this article, He's variational iteration method (VIM) is implemented to solve the non-homogeneous dissipative wave, Helmholtz and some nonlinear fifth-order Korteweg-de Vries (FKdV) partial differential equations with specified initial conditions. The initial approximations can be freely chosen with possible unknown constants which can be determined by imposing the boundary or initial conditions after few iterations. Comparison of the results with those obtained by exact solution and Adomian's decomposition method reveals that VIM is very effective, convenient and quite accurate to both linear and nonlinear problems. It is predicted that VIM can be widely applied in engineering.
- Subjects
ITERATIVE methods (Mathematics); WAVE functions; EQUATIONS; DECOMPOSITION method; NONLINEAR assignment problems; ENGINEERING
- Publication
Suleyman Demirel University Journal of Science, 2009, Vol 4, Issue 2, p189
- Publication type
Article