Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type

DOI10.2478/AMCS-2013-0026zbMath1285.65094OpenAlexW2155420055MaRDI QIDQ2872867

Babak Shiri, Gholamreza Hojjati, Sedaghat Shahmorad

Publication date: 16 January 2014

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amcs-2013-0026

zbMATH Keywords

convergence numerical examples Newton's iterative method high index Volterra integral algebraic equations piecewise continuous collocation methods system of first kind Volterra linear integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items (14)

Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials ⋮ Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum ⋮ Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ Structural analysis of linear integral-algebraic equations ⋮ Optimal convergence results of piecewise polynomial collocation solutions for integral-algebraic equations of index-3 ⋮ Error analysis of the ultraspherical spectral-collocation method for high-index IAEs ⋮ The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation ⋮ Structural analysis of integro-differential-algebraic equations ⋮ Operational tau method for singular system of Volterra integro-differential equations ⋮ Integral-Algebraic Equations: Theory of Collocation Methods II ⋮ On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels ⋮ Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method ⋮ NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS ⋮ Multistep collocation methods for integral-algebraic equations with non-vanishing delays

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