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Approximate Analytical Solutions for Models of Three-Dimensional Electrodes by Adomian's Decomposition Method

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Modern Aspects Of Electrochemistry

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References

  1. K. Scott, Electrochemical Reaction Engineering, Academic Press, London, 1991.

    Google Scholar 

  2. G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Boston, 1994.

    Book  Google Scholar 

  3. G. Adomian, Stochastic Systems, Academic Press, New York, 1983.

    Google Scholar 

  4. Y. P. Sun and K. Scott, An analysis of the influence of mass transfer on porous electrode performance, J. Chem. Eng. 1024(1) (2004) 83-91.

    Article  Google Scholar 

  5. Y. P. Sun and K. Scott, The influence of mass transfer on a porous fuel cell electrode, Fuel Cell, 4(1-2) (2004) 30-38.

    Article  CAS  Google Scholar 

  6. B. A. Finlayson, Nonlinear Analysis in Chemical Engineering, McGraw-Hill Inc., USA, 1980.

    Google Scholar 

  7. J. S. Newman, Electrochemical Systems, 2 nd ed., Prentice Hall, New Jersey, 1991.

    Google Scholar 

  8. Y. Cherrault, Convergence of Adomian‘s method, Kybernetes, 18(2) (1989) 31-38.

    Article  Google Scholar 

  9. A. Wazwaz and S. El-Sayed, A new modification of the Adomain deposition method for linear and nonlinear operators, Appl. Math and Computing 122 (2001) 393-405.

    Article  Google Scholar 

  10. Y. P. Sun, S. B. Liu, and K. Scott, Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by the decomposition method, J. Chem. Eng. 102 (1) (2004) 1-10.

    Article  CAS  Google Scholar 

  11. S. B. Liu, Y. P. Sun, and K. Scott, Analytic solution of diffusion reaction in spherical porous catalyst, Chem. Eng. Technol. 26 (1) (2003) 87-95.

    Article  CAS  Google Scholar 

  12. B. L. Hou, and Y. P. Sun, Applying mechanization for soving nonlinear boundary value problem of ordinary differential equation in reaction engineering, J. Computers and Applied Chemistry 23(3) (2006) 255-259.

    CAS  Google Scholar 

  13. C. N. Sattersfield and T. K. Sherwood, The Role of Diffusion in Catalysis, Addison-Wesley Publishing Co. Inc., Massachusetts, 1963.

    Google Scholar 

  14. M. Eikerling and A. Kornyshev, Modeling the performance of the cathode catalyst layer of polymer electrolyte fuel cells, J. Electroanal. Chem. 435 (1998) 98–106.

    Google Scholar 

  15. J. Nordlund and G. Lindbergh, A model for a porous DMFC anode, J. Electrochem. Soc. 149 (9) (2002) A1107.

    Article  CAS  Google Scholar 

  16. E. Petersen, Non-isochronal chemical reaction in porous catalysts, Chem. Eng. Sci. 17 (1962) 987-995.

    Article  CAS  Google Scholar 

  17. Y. P. Sun, B. L. Hou and K. Scott, Solving Generalized Models of Porous Catalysts and Electrodes by Automation of the Adomian Decomposition Method, Submitted to Chem. Eng. Technol.

    Google Scholar 

  18. Y. P. Sun, W. L. Xu, and K. Scott, A study of the electrochemical reaction of nitrobenzene to p-aminophenol in a packed bed electrode reaction, Electrochim. Acta 38(13) (1993) 1753–1759.

    Article  CAS  Google Scholar 

  19. Y. P. Sun, O. Qiu, W. L. Xu, and K. Scott, A study of the performance of a sparged packed-bed electrode reactor for the direct electrochemical oxidation of propylene, J. Electroanal. Chem. 503 (2001) 36-44.

    Article  CAS  Google Scholar 

  20. Y. P. Sun, B. T. Wu, O. Qiu, W. L. Xu, and K. Scott, An approximate solution to the model of a sparged packed bed electrode reactor, J. Appl. Electrochem. 32 (2002) 1219-1227.

    Article  CAS  Google Scholar 

  21. Y. P. Sun, W. L. Xu, and K. Scott, An efficient method for solving the model equations of a two-dimensional packed bed electrode, J. Appl Electrochem. 25 (1995) 755-763.

    Article  CAS  Google Scholar 

  22. B. T. Wu, Y. P. Sun, A new exploration of the inverse operator solution for a kind of strong nonlinear partial differential equations with initial-boundary value conditions, Acta Mathematica Scientia 19(3) (1999) 347-355.

    Google Scholar 

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Scott, K., Sun, YP. (2007). Approximate Analytical Solutions for Models of Three-Dimensional Electrodes by Adomian's Decomposition Method. In: Vayenas, C., White, R.E., Gamboa-Aldeco, M.E. (eds) Modern Aspects Of Electrochemistry. Modern Aspects of Electrochemistry, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-0-387-46108-3_4

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