Asymptotology by homotopy perturbation method

Applied Mathematics and Computation

Volumn 156, Issue 3, 2004, Pages 591-596

  He, J H ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Asymptotic method; Homotopy; Perturbation method

Indexed keywords

APPROXIMATION THEORY; HEURISTIC METHODS; ITERATIVE METHODS; LARGE SCALE SYSTEMS; LEARNING SYSTEMS; PERTURBATION TECHNIQUES;

ASYMPTOTIC METHOD; HOMOTOPY; HUMAN KNOWLEDGE;

ASYMPTOTIC STABILITY;

EID: 4344696077     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.08.011     Document Type: Article

References (14)

1. Andrianov I., Awrejcewicz J. Construction of periodic solution to partial differential equations with nonlinear boundary conditions. International Journal of Nonlinear Sciences and Numerical Simulation. 1(4):2000;327-332.
2. Andrianov I., Manevitch L. Asymptotology: Ideas, Methods, and Applications. 2003;Kluwer Academic Publishers.
3. Bender C.M., Pinsky K.S., Simmons L.M. A new perturbative approach to nonlinear problems. Journal of Mathematical Physics. 30(7):1989;1447-1455.
4. Delamotte B. Nonperturbative method for solving differential equations and finding limit cycles. Physical Review Letters. 70:1993;3361-3364.
5. He J.H. Variational iteration method: a kind of nonlinear analytical technique: some examples. International Journal of Nonlinear Mechanics. 34(4):1999;699-708.
6. He J.H. Homotopy perturbation technique. Computer Methods in Applied Mechanics and Engineering. 178:1999;257-262.
7. He J.H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. International Journal of Nonlinear Mechanics. 35(1):2000;37-43.
8. He J.H. A review on some new recently developed nonlinear analytical techniques. International Journal of Nonlinear Sciences and Numerical Simulation. 1(1):2000;51-70.
9. He J.H. Bookkeeping parameter in perturbation methods. International Journal of Nonlinear Science and Numerical Simulation. 2(3):2001;257-264.
10. He J.H. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations. Part III: Double series expansion. International Journal of Nonlinear Science and Numerical Simulation. 2(4):2001;317-320.
11. He J.H. Iteration perturbation method for strongly nonlinear oscillations. Journal of Vibration and Control. 7(5):2001;631-642.
12. He J.H. A note on delta-perturbation expansion method. Applied Mathematics and Mechanics. 23(6):2002;634-638.
13. He J.H. Recent developments in asymptotic methods for nonlinear ordinary equations. Invited Lecture Delivered at 10th International Colloquium on Numerical Analysis and Computer Science with Applications. Plovidiv, Bulgaria, 12-17 August 2001 International Journal of Computational and Numerical Analysis and Applications. 2(2):2002;127-190.
14. He J.H. Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation. 135:2003;73-79.