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Blow-up solutions obtained using the decomposition method

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  • Lesnic, D.

Abstract

This paper deals with obtaining explicit solutions of a generalised non-linear Boussinesq equation using the Adomian decomposition method. Both finite and blow-up solutions can be obtained.

Suggested Citation

  • Lesnic, D., 2006. "Blow-up solutions obtained using the decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 776-787.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:776-787
    DOI: 10.1016/j.chaos.2005.08.003
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    References listed on IDEAS

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    1. Adomian, George, 1995. "Solving the mathematical models of neurosciences and medicine," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 40(1), pages 107-114.
    2. Doğan Kaya, 2001. "Explicit solutions of generalized nonlinear Boussinesq equations," Journal of Applied Mathematics, Hindawi, vol. 1, pages 1-9, January.
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    Cited by:

    1. Elgazery, Nasser S., 2008. "Numerical solution for the Falkner–Skan equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 738-746.
    2. Memarbashi, Reza, 2008. "Numerical solution of the Laplace equation in annulus by Adomian decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 138-143.
    3. Abdel-Halim Hassan, I.H., 2008. "Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 53-65.
    4. Bratsos, A.G., 2009. "A predictor–corrector scheme for the improved Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2083-2094.

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