Exact solution of burgers equations by Homotopy Perturbation Method and reduced differential transformation method

Australian Journal of Basic and Applied Sciences

Volumn 5, Issue 5, 2011, Pages 580-589

  Taghizadeh, N ^a   Akbari, M ^a   Ghelichzadeh, A ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

Burgers equation; Homotopy perturbation method; Reduced Differential Transformation Method; Time dependent partial differential equations

Indexed keywords

EID: 79955777178     PISSN: 19918178     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Arikoglu, A., zkol, 2006. Solution of difference equations by using differential transform method, Applied Mathematics and Computation, 174: 1216-1228.
2. Arikoglu, A., I. zkol, 2005. Solution of boundary value problems for integro-differential equations by using differential transform method, Applied Mathematics and Computation, 168: 1145-1158.
3. Ayaz, F., 2004. Solutions of the system of differential equations by differential transform method, Applied Mathematics and Computation, 147: 547-567.
4. Ertrk, V.S., S. Momani, 2007. Comparing numerical methods for solving fourth-order boundary value problems, Applied Mathematics and Computation, 188: 1963-1968.
5. Ertrk, V.S., S. Momani, 2007. Comparing numerical methods for solving fourth-order boundary value problems, Applied Mathematics and Computation, 188: 1963-1968.
6. He, J.H., 1999. Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering, 178: 257-262.
7. He, J.H., 2000. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int J Nonlinear Mech, 35(1): 37-43.
8. He, J.H., 2005. Homotopy perturbation method for bifurcation of nonlinear problems. International Journal of Nonlinear Sciences and Numerical Simulation, 6(2): 207-208.
9. He, J.H., 2003. Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation, 135: 73-79.
10. He, J.H., 2004. The homotopy perturbation method for nonlinear oscillators with discontinuities, Appl. Math. Comput, 151: 287-292.
11. He, J.H., 2005. Application of homotopy perturbation method to nonlinear wave equations, Chaos, Solitons Fractals, 26: 695-700.
12. He, J.H., 2005. Homotopy perturbation method for bifurcation of nonlinear problems, Internat. J. Nonlinear Sci., Numer. Simul, 6: 207-208.
13. He, J.H., 1997. A new approach to non-linear partial differential equations, Communications in Nonlinear Science and Numerical Simulation, 2(4).
14. Hassan, I.H., 2008. Comparison differential transformation technique with Adomian Decomposition method for linear and nonlinear initial value problems, Chaos Solitons and Fractals, 36(1): 53-65.
15. Liu, H., Y. Song, 2007. Differential transform method applied to high indexdierentialalgebraic equations, Applied Mathematics and Computation, 184: 748-753.
16. Zhou, J.K., 1986. Differential Transformation and Its Applications for Electrical Circuits (in Chinese), Huazhong University Press, Wuhan, China.