Application of Adomian decomposition method to solving some kinds of partial differential equations and system of partial differential equations

Authors

  • Justin Mouyedo Loufouilou
  • Gabriel Bissanga
  • Bassono Francis
  • Youssouf PARE UFR/SEA, Université de Ouagadougou Burkina Faso

DOI:

https://doi.org/10.14419/ijams.v1i4.1372

Published

19-11-2013

Keywords:

Adomian decomposition method, partial differential equations.

Abstract

In this article, the Adomian decomposition method (ADM) is used to construct the solution of the initial value problem of some kinds of partial differential equations of first order.

Author Biography

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

References

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K. ABBAOUI and Y. CHERRUAULT, “Convergence of Adomian method applied to differential equations.” Math. Comput. Modelling (28, 5), pp 103-109, 1994.

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N. NGARASTA, 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.

Nafey. A. H. « Perturbation Methods, Wiley, New York, 1973.

Gabriel BISSANGA, A.K NSEMI. ” Application of Adomian decomposition method to solving the Van Der Pol equation and comparison with the regular perturbation method.” Proceedinds of the Five international workshop on contemporary problems in mathematical physics, Cotonou-Benin,eds. J. Govaerts, M. N. Hounkounou (International Chair in Mathematical Physics and Applications, ICMP-UNESCO Chair, University of Abomey-Calavy,072 BP 50 Cotonou, Republic of Benin, December 2008).

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

Chengri Jin, Mingzhu Liu,”A new modification of Adomian decompostion method for solving a kind of evolution equation”. Applied Mathematicals and Computation 169(2005) 953-962.

D. Lesnic, “A computational algebraic investigation of the decomposition method for time-dependent problems”. Qpplied Mathematics and Computation 119(2001) 197-206.

D. Lesnic, “Blow-up solutions obtained using the decomposition method”. Chaos, Solitons 28 (2006) 776-787.

How to Cite

Loufouilou, J. M., Bissanga, G., Francis, B., & PARE, Y. (2013). Application of Adomian decomposition method to solving some kinds of partial differential equations and system of partial differential equations. International Journal of Advanced Mathematical Sciences, 1(4), 190-198. https://doi.org/10.14419/ijams.v1i4.1372

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