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Taylor polynomial solutions of Volterra integral equations. (English) Zbl 0823.45005

The author considers certain linear and nonlinear integral equations of Volterra type. The author proposes a Taylor expansion approach to solve these equations. The equations are differentiated repeatedly and few coefficients in the Taylor expansion of the solution are numerically approximated.
Reviewer: N.Medhin (Atlanta)

MSC:

45G10 Other nonlinear integral equations
45D05 Volterra integral equations
65R20 Numerical methods for integral equations
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References:

[1] DOI: 10.1080/0020739890200310 · Zbl 0683.45001 · doi:10.1080/0020739890200310
[2] Kanwal R. P., Linear Integral Equations (1971) · Zbl 0219.45001
[3] Rainville E. D., Elementary Differential Equations (1964) · Zbl 0124.04602
[4] DOI: 10.1093/comjnl/12.2.193 · Zbl 0187.12401 · doi:10.1093/comjnl/12.2.193
[5] DOI: 10.1007/BF01436487 · Zbl 0255.65044 · doi:10.1007/BF01436487
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