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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Application of the Adomian decomposition method and Laplace transform method to solving the convection diffusion-dissipation equation

Authors and Affiliations

  • Joseph Bonazebi Yindoula
  • Youssouf Pare UFR/SEA, Université de Ouagadougou Burkina Faso
  • Gabriel Bissanga
  • Francis Bassono
  • Blaise Some

About this article

DOI
https://doi.org/10.14419/ijamr.v3i1.1596
Received
04-12-2013
Accepted
02-01-2014
Published
11-01-2014
Views
666
Downloads
306
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Abstract

In this paper, the Adomian decomposition method and Laplace transform method are used to construct the solution of a convection-diffusion-dissipation equation.

Author Biography

  • Youssouf Pare, UFR/SEA, Université de Ouagadougou Burkina Faso
    Dr PARE YOUSSOUF, Maitre-assistant UFR/SEA Universite de Ouagadougou

References

[1] K. ABBAOUI, Les fondements de la méthode décompositionnelle d’Adomian et application à la résolution de problèmes issus de la médecine. Thèse de doctorat de l’Université Paris VI. Octobre 1995.

[2] K. ABBAOUI and Y. CHERRUAULT, Convergence of Adomian method applied to differential equations. Math. Comput. Modeling (28, 5), pp103-109, 1994.

[3] K. ABBAOUI and Y. CHERRUAULT, Convergence of Adomian applied to nonlinear equations. Math. Comput> Modeling (20, 9), pp60-73, 1994.

[4] K. ABBAOUI and Y. CHERRUAULT, The Decomposition method applied to the Cauchy problem. Kybernetes, (28, 1), pp68-74, 1999.

[5] N. NGARHASTA, B.SOME, K.ABBAOUI and Y.CHERRUAULT, New numerical study of Adomian method applied to a diffusion model. Kybernetes, Vol.31, no1, pp61-75, 2002.

View more references (5)

[6] M. Hussain and Majid Khan Modified Laplace Decomposition Method, Applied Mathematical Sciences, Vol. 4, 2010, no 36, 1769-1783.

[7] Pierre BAKI-TANGOU, Gabriel BISSANGA, Application of Adomian method to solving the Duffing-Van Der Pol equation. Communications in Mathematical Analysis. Vol.4, No. 2. pp. 30-40 (2008).

[8] AM Wazwaz, Partial differential equations methods and applications, Netherland Balkema Publisher.2002?

[9] Francis BASSONO, PARE Youssouf, Gabriel Bissanga and Blaise SOME, Application of the Adomian Decomposition method and the perturbation method to solving integral equations, AJMMS, Vol 1, No. 2, July-December 2012, pp. 121– 128.

[10] Francis BASSONO, PARE Youssouf, Gabriel BISSANGA and Blaise SOME, Application of the Adomian Decomposition Method and the Perturbation Method to solving a system of perturbation equations, Far East Journal of Applied Mathematics, Vol 72, No 2, 2012, pp 91-99.


How to Cite

Yindoula, J. B., Pare, Y., Bissanga, G., Bassono, F., & Some, B. (2014). Application of the Adomian decomposition method and Laplace transform method to solving the convection diffusion-dissipation equation. International Journal of Applied Mathematical Research, 3(1), 30-35. https://doi.org/10.14419/ijamr.v3i1.1596

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