论文信息 - A computational method for system of Volterra-Fredholm integral equations

A computational method for system of Volterra-Fredholm integral equations

Adomian decomposition method has been applied for solving Volterra-Fredholm equation by Maleknejad [K. Maleknejad, M. Hadizadeh, A new computational method for Volterra-Fredholm integral equations, Comput. Math. Appl. 37 (1999) 1-8] in 1999. In this paper, we solve the system of nonlinear Volterra-Fredholm integral equations by Adomian decomposition method. Some examples are solved to illustrate the accuracy of this method.

Khosrow Maleknejad | M. R. Fadaei Yami

[1] George Adomian,et al. Nonlinear Stochastic Systems Theory and Applications to Physics , 1988 .

[2] O. Diekmann,et al. Thresholds and travelling waves for the geographical spread of infection , 1978, Journal of mathematical biology.

[3] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .

[4] B. Some. Some recent numerical methods for solving nonlinear Hammerstein integral equations , 1993 .

[5] Jafar Biazar,et al. The decomposition method applied to systems of Fredholm integral equations of the second kind , 2004, Appl. Math. Comput..

[6] L. Gabet,et al. The theoretical foundation of the Adomian method , 1994 .

[7] H. Brunner. On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods , 1990 .

[8] Giuseppe Saccomandi,et al. New results for convergence of Adomian's method applied to integral equations , 1992 .

[9] Yves Cherruault,et al. Short papers: The resolution of non‐linear integral equations of the first kind using the decompositional method of Adomian , 1997 .

[10] M. Hadizadeh,et al. A new computational method for Volterra-Fredholm integral equations , 1999 .