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)


45G10 Other nonlinear integral equations
45D05 Volterra integral equations
65R20 Numerical methods for integral equations
Full Text: DOI


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.