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Solution of systems of integral-differential equations by Adomian decomposition method. (English) Zbl 1082.65594

Summary: Adomian decomposition method, as a well-known method for solving functional equations, has been employed to solve systems of integral-differential equations. Theoretical considerations are discussed, and convergence of the method for these systems is addressed. Some examples are presented to show the ability of the method for such systems.

MSC:

65R20 Numerical methods for integral equations
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References:

[1] Adomian, G., Solving frontier problems of physics: the decomposition method, (1994), Kluwer Academic Publishers Dordecht · Zbl 0802.65122
[2] Babolian, E.; Biazar, J., Solution of a system of nonlinear Volterra integral equations of the second kind, Far eastj. marth. sci., 2, 6, 935-945, (2000) · Zbl 0979.65123
[3] Biazar, J.; Babolian, E.; Nouri, A.; Islam, R., An alternate algorithm for computing Adomian decomposition method in special cases, App. math. comput., 138, 523-529, (2003) · Zbl 1027.65076
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