Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application. (1997)

• Record Type: Journal Article
• Authors: Pandit, Sudhakar G.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 2(1997)
• Page Start: 169
• Page End: 178
• Publication Date: 1997
• Subjects: Volterra integral equations -- generalized quasilinear technique -- monotone iterative technique -- successive approximations technique -- quadratic convergence -- boundary-layer theory; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953397000208
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : 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.