He's variational iteration method for solving hyperbolic differential equations

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 8, Issue 3, 2007, Pages 311-314

  Biazar, J ^a   Ghazvini, H ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

He's variational iteration method; Hyperbolic partial differential equations

Indexed keywords

EID: 34548562006     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2007.8.3.311     Document Type: Article

References (13)

1. J.H. He, A new approach to nonlinear partial differential equations, Comm. Nonlinear Sci. Numer. Simul. 2 (4) (1997)230-235
2. J.H. He, Variational iteration method for delay differential equations, Commun. Non-linear Sei. Numer. Simulation 2 (4) (1997)235-236
3. J.H. He, Approximate solution of nonlinear differential equations with convolution product nonlinearities, Computer Methods in Applied Mechanics and Engineering 167 (1998)69-73
4. J.H. He, Variational iteration method-a kind of non-linear analytical technique: Some examples International Journal of Nonlinear Mechanics, 34 (4) (1999)699-708
5. J.H. He, Approximate analytical solution for seepage flow with fractional derivatives in porous media, Computer Methods in Applied Mechanics and Engineering, 167 (1-2) (1998)57-68
6. J.H. He, Approximate solution of nonlinear differential equations with convolution product nonlinearities, Computer Methods in Applied Mechanics and Engineering, 167 (1-2) (1998)69-73
7. J.H. He, X.H Wu, Construction of solitary solution and compaction-like solution by variational iteration method, Chaos, Solitons & Fractals, 29 (1) (2006)108-113
8. J.H. He, Some Asymptotic Methods for Strongly Nonlinear Equations, International Journal of Modern Physics B, 20 (10) (2006)1141-1199
9. J.H. He, Variational iteration method for autonomous ordinary differential systems, Applied Mathematics and Computation 114 (2-3) (2000)115-123
10. M. Inokuti et al. General use of the Lagrange multiplier in nonlinear mathematical physics, in: S. Nemat Nasser, ed.,Variational Method in the Mechanics of Solids 156-162, Pergamon Press (1978)
11. B.A. Finlayson, The Method of Weighted Residuals and Variational Principles, Academic Press (1972).
12. J.Biazar, H. Ebrahimi, An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method, Applied Mathematics and Computation 163 (2005) 633-638.
13. D.R. Smith, Singular-Perturbation Theory. An Introduction with Applications, Cambridge University Press Cambridge, 1985.