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Numerical implementation of the Adomian decomposition method for nonlinear Volterra integral equations of the second kind. (English) Zbl 1115.65392

Summary: We propose new ideas for the implementation of the Adomian decomposition method to solve nonlinear Volterra integral equations. Numerical examples are presented to illustrate the method for nonlinear Volterra integral equations of the second kind.

MSC:

65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
Full Text: DOI

References:

[1] DOI: 10.1016/0022-247X(88)90170-9 · Zbl 0671.34053 · doi:10.1016/0022-247X(88)90170-9
[2] Wazwaz A. M., A First Course in Integral Equations (1997) · Zbl 0924.45001
[3] DOI: 10.1016/0895-7177(92)90009-A · Zbl 0756.65083 · doi:10.1016/0895-7177(92)90009-A
[4] DOI: 10.1016/0020-7101(94)01042-Y · doi:10.1016/0020-7101(94)01042-Y
[5] DOI: 10.1016/0096-3003(95)00189-1 · Zbl 0846.65077 · doi:10.1016/0096-3003(95)00189-1
[6] DOI: 10.1016/S0096-3003(03)00629-5 · Zbl 1055.65068 · doi:10.1016/S0096-3003(03)00629-5
[7] DOI: 10.1016/S0096-3003(99)00063-6 · Zbl 1028.65138 · doi:10.1016/S0096-3003(99)00063-6
[8] DOI: 10.1017/CBO9780511569609 · Zbl 0592.65093 · doi:10.1017/CBO9780511569609
[9] Stoer J., Introduction to Numerical Analysis (2002) · Zbl 1004.65001
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