The decomposition method for one dimensional biharmonic equations

International Journal of Simulation and Process Modelling

Volumn 2, Issue 1-2, 2006, Pages 33-36

  Khalifa, A K ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Adomian decomposition method; biharmonic equation

Indexed keywords

EID: 84885621126     PISSN: 17402123     EISSN: 17402131     Source Type: Journal    
DOI: 10.1504/ijspm.2006.009010     Document Type: Article

References (8)

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2. Adomian, G. and Rach, R. (1993) ‘Analytic solution of nonlinear boundary – value problems in several dimensions by decomposition’, J. Mathematical Analysis and Applications, Vol. 174, pp.118–137.
3. Aziz, M.A. (1996) Some Numerical Methods for Biharmonic Equations, MSc Thesis, Al-Azhar University, Cairo, Egypt
4. Kaya, D. (2004) ‘A numerical simulation of solitary-wave solutions of the generalized long-wave equation’, Applied Mathematics and Computation, Vol. 149, No. 3, pp.833–841.
5. Kaya, D. and El-Sayed, S.M. (2003) ‘An application of the decomposition method for the generalized KdV and RLW equations’, Chaos, Solitons and Fractals, Vol. 17, pp.869–877.
6. Khalifa, A.K. and Aziz, M.A. (2000) ‘Collocation finite element and spectral methods for one dimension biharmonic equations’, Int. J. Computer Math., Vol. 74, pp.537–550.
7. Wazwaz, A-M. (2000a) ‘Approximate solutions to boundary value problem of higher order by the modified decomposition methods’, Computers and Mathematics with Applications, Vol. 40, pp.679–691.
8. Wazwaz, A-M. (2000b) ‘The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator mode’, Applied Mathematics and Computation, Vol. 110, pp.251–264.