| Citation: |
Abdon Atangana. A NEW DEFY FOR ITERATION METHODS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 273-283. doi: 10.11948/2015025
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A NEW DEFY FOR ITERATION METHODS
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Abstract
The work presents an adaptation of iteration method for solving a class of thirst order partial nonlinear differential equation with mixed derivatives. The class of partial differential equations present here is not solvable with neither the method of Green function, the most usual iteration methods for instance variational iteration method, homotopy perturbation method and Adomian decomposition method, nor integral transform for instance Laplace, Sumudu, Fourier and Mellin transform. We presented the stability and convergence of the used method for solving this class of nonlinear chaotic equations. Using the proposed method, we obtained exact solutions to this kind of equations.-
Keywords:
- Extension of iteration method /
- nonlinear equation /
- Stability /
- convergence
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References
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Citation
Abdon Atangana. A NEW DEFY FOR ITERATION METHODS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 273-283. doi: 10.11948/2015025
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