New computational method for Volterra-Fredholm integral equations

Computers and Mathematics with Applications

Volumn 37, Issue 9, 1999, Pages 1-8

  Maleknejad, K ^a   Hadizadeh, M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; NONLINEAR EQUATIONS;

ADOMIAN DECOMPOSITION METHOD; VOLTERRA-FREDHOLM INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS;

EID: 0033132499     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00107-8     Document Type: Article

References (27)

1. O. Diekman, Thresholds and traveling waves for the geographical spread of infection, J. Math. Biol. 6, 109-130, (1978).
2. B.G. Pachpatte, On mixed Volterra-Fredholm type integral equations, Indian J. Pure Appl. Math. 17, 488-496, (1986).
3. L. Hacia, On approximate solution for integral equations of mixed type, ZAMM. Z. Angew. Math. Mech. 76, 415-416, (1996).
4. P.J. Kauthen, Continuous time collocation methods for Volterra-Fredholm integral equations, Numer. Math. 56, 409-424, (1989).
5. L. Hacia, On approximate solving of the Fourier problems, Demonstratio Math. 12, 913-922, (1979).
6. H.R. Thieme, A model for the spatio spread of an epidemic, J. Math. Biol. 4, 337-351, (1977).
7. H. Guoqiang and Z. Liqing, Asymptotic expansion for the trapezoidal Nystrom method of linear Volterra-Fredholm equations, J. Comput. Appl. Math. 51 (3), 339-348, (1994).
8. H. Brunner, On the numerical solution of nonlinear Volterra-Fredholm integral equation by collocation methods, SIAM J. Numer. Anal. 27 (4), 987-1000, (1990).
9. H. Guoqiang, Asymptotic error expansion for the Nystrom method for a nonlinear Volterra-Fredholm integral equations, J. Comput. Appl. Math. 59, 49-59, (1995).
10. G. Adomian, A review of the decomposition method and some recent results for nonlinear equations, Mathl. Comput. Modelling 13 (7), 17-34, (1990).
11. Y. Cherruault, G. Saccomandi and B. Some, New results for convergence of Adomian method applied to integral equations, Mathl. Comput. Modelling 16 (2), 83-93, (1992).
12. G. Adomian, Solution of physical problems by decomposition, Computers Math. Applic. 27 (9/10), 145-154, (1994).
13. Y. Cherruault and V. Seng, The resolution of nonlinear integral equations of the first kind using the decompositional method of Adomian, Kybernetes, (1997).
14. G. Adomian, Solving Frontier Problems of Physics - The Decomposition Method, Kluwer, (1994).
15. Y. Cherruault, Convergence of Adomian's method, Kybernetes 18 (2), 31-38, (1989).
16. Y. Cherruault, G. Adomian, K. Abbaoui and R. Rach, Further remarks on convergence of decomposition, I. J. B. C. 38, 89-93, (1995).
17. L. Gabet, The theoretical foundation of the Adomian method, Computers Math. Applic. 27 (12), 41-52, (1994).
18. K. Abbaoui and Y. Cherruault, Convergence of Adomian's method applied to differential equations, Computers Math. Applic. 28 (5), 103-109, (1994).
19. K. Abbaoui and Y. Cherruault, New ideas for proving convergence of decomposition methods, Computers Math. Applic. 29 (7), 103-108, (1995).
20. K. Abbaoui and Y. Cherruault, Convergence of Adomian's method applied to nonlinear equations, Mathl. Comput. Modelling 20 (9), 69-73, (1994).
21. S. Guellal and Y. Cherruault, Practical formulae for calculation of Adomian's polynomials and application to the convergence of the decomposition method, I. J. B. C. 36, 223-228, (1994).
22. G. Adomian, Nonlinear Stochastic Systems Theory and Applications to Physics, Kluwer, (1988).
23. Li.G. Chambers, Bounds for solutions of integral equations of second type, Differential and Integral Equations 4 (3), 647-652, (1991).
24. B. Some, Some recent numerical methods for solving nonlinear Hammerstein integral equations, Mathl. Comput. Modelling 18 (9), 55-62, (1993).
25. I.G. Graham, Numerical methods for multidimensional integral equations, in Computational Techniques and Applications: CTAC-83, (Edited by J. Noye and C. Fletcher), pp. 335-351, North-Holland, Amsterdam, (1984).
26. K. Maleknejad and M. Hadizadeh, A note on a nonlinear problem in cell membrane theory, Nonlinear Analysis - Theory, Methods and Applications 30 (6), 3947-3950, (1997).
27. K. Maleknejad and M. Hadizadeh, On the decomposition method to the heat equation with nonlinear and nonlocal boundary conditions, Kybernetes 27 (4), (1998).