Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application

DOI10.1155/S1048953397000208zbMath0881.45004MaRDI QIDQ1366407

Sudhakar G. Pandit

Publication date: 24 February 1998

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47799

zbMATH Keywords

monotonicityconvexityiterative methodsquadratic convergencenonlinear Volterra integral equationsboundary-layer theoryquasilinear technique

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (7)

On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method ⋮ An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials ⋮ A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equations ⋮ A Bernstein polynomial approach for solution of nonlinear integral equations ⋮ Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization ⋮ Bernstein collocation method for solving nonlinear Fredholm-Volterra integrodifferential equations in the most general form ⋮ Convergence analysis of non-polynomial spline functions for the Fredholm integral equation

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