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Solving nonlinear partial differential equations using the modified variational iteration Padé technique
- Source :
- Journal of Computational and Applied Mathematics. (1):73-91
- Publisher :
- Elsevier B.V.
-
Abstract
- In this paper, the modified variational iteration method (MVIM) is reintroduced with the enhancement of Padé approximants to lengthen the interval of convergence of VIM or MVIM when used alone in solving nonlinear problems. KdV, mKdV, Burger's and Lax's equations are used as examples to illustrate the effectiveness and convenience of the proposed technique.
- Subjects :
- Nonlinear partial differential equations
Partial differential equation
Differential equation
Applied Mathematics
Numerical analysis
Mathematical analysis
Mathematica
Solitons
Burgers' equation
Computational Mathematics
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Padé technique
Initial value problem
Padé approximant
Variational iteration method
Korteweg–de Vries equation
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Applied Mathematics
- Accession number :
- edsair.doi.dedup.....478cf25fb4778239385a6283331a1a71
- Full Text :
- https://doi.org/10.1016/j.cam.2006.07.024