A note on a nonlinear problem in cell membrane theory

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 6, 1997, Pages 3947-3950

  Maleknejad, K ^a   Hadizadeh, M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Adomian's decomposition method; Nonlinear boundary value problem; Numerical treatments

Indexed keywords

EID: 0009443605     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00335-5     Document Type: Article

References (8)

1. ANDERSON N. & ARTHURS A. M., Complementry variational principles for the steady-state finite cable model of nerve membranes, Bull. Math. Biol. 40, 735-742 (1978).
2. ARTHURS A. M. & ARTHURS W. M., Pointwise bounds for the solution of a nonlinear problem in cell membran theory, Bull. Math. Biol. 45, 155-168 (1983).
3. JACK J. J. B., NOBLE D. & TSIEN R. W., Electric current flow in excitable cells, clarendon press, Oxford (1975).
4. KOOTSEY J. M., The steady-state finite cable: numerical method for nonlinear membrane, J. Theor. Biol. 64, 413-420 (1977).
5. ARTHURS A. M. & CLEGG. J., On the solution of a nonlinear problem in cell membrane theory, J. Austral. Math. Soc. Ser. B 36, 26-37 (1994).
6. ADOMIAN G., Solving Frontier problems of physics - The decomposition method, kluwer (1994).
7. CHERRUAULT Y., SACCOMANDI G. & SOME B., New results for convergence of Adomian's method and applied to integral equation, Mathl. Comput. Modelling. 16, 83-93 (1992).
8. MALEKNEJAD K. & HADIZADEH M., Numerical study of nonlinear volterra integro-differential equations by Adomian's method, submited for publication.