An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials

DOI10.1186/2251-7456-6-60zbMath1271.65156OpenAlexW2136302412WikidataQ59272428 ScholiaQ59272428MaRDI QIDQ2391741

Jalil Rashidinia, Esmaeil Najafi, Asghar Arzhang

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-60

zbMATH Keywords

collocation methodChebyshev polynomialsnumerical exampleserror analysisquasilinearizationnonlinear Volterra integral equationsClenshaw-Curtis quadrature

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

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Cites Work

• Quasilinearization for functional differential equations with retardation and anticipation
• The convergence rates of expansions in Jacobi polynomials
• An extension of the method of quasilinearization
• Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application
• Extensions of the method of quasilinearization
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• Computational Methods for Integral Equations
• Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
• Improved generalized quasilinearization (GQL) method
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