Modified variational iteration method for Boussinesq equation

Computers and Mathematics with Applications

Volumn 54, Issue 7-8, 2007, Pages 955-965

  Abassy, Tamer A ^a   El Tawil, Magdy A ^b   El Zoheiry, H ^b  

^a BENHA UNIVERSITY   (Egypt)

^b CAIRO UNIVERSITY   (Egypt)

Author keywords

Adomian method; Boussinesq equation; Modified VIM (MVIM); Nonlinear partial differential equations; Variational iteration method (VIM)

Indexed keywords

NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

ADOMIAN METHOD; BOUSSINESQ EQUATION; MODIFIED VIM (MVIM); VARIATIONAL ITERATION METHOD (VIM);

ITERATIVE METHODS;

EID: 34748866545     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.040     Document Type: Article

References (15)

1. He J.H. Approximate analytical solution of Blasius' equation. Communications in Nonlinear Science and Numerical Simulation 4 1 (1999) 75-78
2. He J.H. Variational iteration method - A kind of non-linear analytical technique: Some examples. International Journal of Non-Linear Mechanics 34 4 (1999) 699-708
3. Marinca V. An approximate solution for one-dimensional weakly nonlinear oscillations. International Journal of Nonlinear Sciences and Numerical Simulation 3 (2002) 107-120
4. Abdou M.A., and Soliman A.A. New application of variational iteration method. Physica D 211 (2005) 1-8
5. He J.H. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation 114 2-3 (2000) 115-123
6. He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos, Solitons & Fractals 29 1 (2006) 108-113
7. He J.H. Some asymptotic methods for strongly nonlinear equations. International Jornal of Modern Physics, B 20 10 (2006) 1141-1199
8. T.A. Abassy, M.A. El-Tawil, H. El-Zoheiry, Toward a modified variational iteration method (MVIM), Journal of Computational and Applied Mathematics (in press), doi: 10.1016/j.cam.2006.07.019
9. T.A. Abassy, M.A. El-Tawil, H. El-Zoheiry, Solving nonlinear P.D.E. using the modified variational iteration-Padé technique (MVIM-Padé), Journal of Computational and Applied Mathematics (in press), doi: 10.1016/j.cam.2006.07.024
10. T.A. Abassy, M.A. El-Tawil, H. El-Zoheiry, Exact solution of some nonlinear partial differential equations using modified variational iteration method linked with Laplace transform and Padé technique, Computers and Mathematics with Applications (in press)
11. Inokuti M., Sekine H., and Mura T. In: Nemat-Nasser S. (Ed). General Use of the Lagrange Multiplier in Non-Linear Mathematical Physics. Variational Method in the Mechanics of Solids (1978), Pergamon Press 156-162
12. Mckean H.P. Boussinesq equation on the circle. Communications on Pure and Applied Mathematics 34 (1981) 599-691
13. Adomian G. Solving Frontier Problem of Physics: The Decomposition Method (1994), Kluwer Academic Publishers, MA, Boston
14. Abassy T.A., El-Tawil M., and Kamel H. The solution of KdV and mKdV equations using adomian Padé approximation. International Journal of Nonlinear Sciences and Numerical Simulation 5 4 (2004) 327-339
15. Abassy T.A., El-Tawil M., and Kamel H. The solution of Burgers' and good Boussinesq equations using ADM-Padé technique. Chaos, Solitons & Fractals 32 (2007) 1008-1026