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On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model

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  • Hashim, I.
  • Chowdhury, M.S.H.
  • Mawa, S.

Abstract

The total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is simulated by an adaptation of the standard analytic homotopy-perturbation method (HPM). The standard HPM is converted into a hybrid numeric–analytic method called the multistage HPM (MHPM). The numerical results obtained from the MHPM and the classical fourth-order Runge–Kutta (RK4) method are in complete agreement.

Suggested Citation

  • Hashim, I. & Chowdhury, M.S.H. & Mawa, S., 2008. "On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 823-827.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:823-827
    DOI: 10.1016/j.chaos.2007.09.009
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    References listed on IDEAS

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    1. Noorani, M.S.M. & Hashim, I. & Ahmad, R. & Bakar, S.A. & Ismail, E.S. & Zakaria, A.M., 2007. "Comparing numerical methods for the solutions of the Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1296-1304.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    3. Hashim, I. & Noorani, M.S.M. & Ahmad, R. & Bakar, S.A. & Ismail, E.S. & Zakaria, A.M., 2006. "Accuracy of the Adomian decomposition method applied to the Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1149-1158.
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    1. Zafar, Zain Ul Abadin & Inc, Mustafa & Tchier, Fairouz & Akinyemi, Lanre, 2023. "Stochastic suicide substrate reaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).

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