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

Application of a modi?ed Adomian decomposition method to solving a kind of wave equation

Authors and Affiliations

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

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Abstract

In this paper, a modi?ed Adomian decomposition method is used to construct thesolution of the initial value problem of a wave 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 biologie et 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. Modelling (28,5), pp.103-109.

[3] K. ABBAOUI and Y. CHERRUAULT, Convergence of Adomian method applied to non linear equations. Math. Comput. Modelling (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. 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. E.M. DE JAGER.

View more references (6)

[6] Gabriel BISSANGA, Application of Adomian decomposition method to solving the Duffing equation. Comparison with perturbation method. Proceedings of the Fourth International Workshop on Contemporary Problems in Mathematical Physics, Cotonou Benin, nov. 2005.

[7] Gabriel BISSANGA. A-K NSEMI. Application of Adomian decomposition method to solving the Van der Pol equation and comparison with the regular perturbation method. Proceedings 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).

[8] 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).

[9] D. Lesnic, A computational algebraic investigation of the decomposition method for time-dependent problems. Applied Mathematics and Computation 119 (2001) 197-206.

[10] D. Lesnic, Blow-up solutions obtained using the decomposition method. Chaos, Solutions 28 (2006) 776-787.

[11] Chengri Jin, Mingzhu Liu. A new modification of Adomian decomposition method for solving a kind of evolution equation. Applied Mathematics and Computation 169 (2005) 953-962.


How to Cite

Bassono, F., Pare, Y., Gabriel, B., & Blaise, S. (2013). Application of a modi?ed Adomian decomposition method to solving a kind of wave equation. International Journal of Applied Mathematical Research, 2(2), 213-219. https://doi.org/10.14419/ijamr.v2i2.690