Pandit, Sudhakar G. Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application. (English) Zbl 0881.45004 J. Appl. Math. Stochastic Anal. 10, No. 2, 169-178 (1997). A generalized quasilinear technique is employed to derive iterative schemes for nonlinear Volterra integral equations under various monotonicity and convexity (concavity) conditions on the kernels. The iterates in the schemes are linear, and converge monotonically, uniformly and quadratically to the unique solution. An application to a boundary-layer theory problem and examples illustrating the results are presented. Reviewer: V.Lakshmikantham (Melbourne/Florida) Cited in 7 Documents MSC: 45G10 Other nonlinear integral equations 45L05 Theoretical approximation of solutions to integral equations 76D10 Boundary-layer theory, separation and reattachment, higher-order effects Keywords:iterative methods; quadratic convergence; quasilinear technique; nonlinear Volterra integral equations; monotonicity; convexity; boundary-layer theory PDFBibTeX XMLCite \textit{S. G. Pandit}, J. Appl. Math. Stochastic Anal. 10, No. 2, 169--178 (1997; Zbl 0881.45004) Full Text: DOI EuDML