Error analysis of the ultraspherical spectral-collocation method for high-index IAEs

DOI10.1080/00207160.2015.1121247zbMath1474.65514OpenAlexW2341625857MaRDI QIDQ5737887

S. Pishbin

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.1080/00207160.2015.1121247

zbMATH Keywords

convergence analysisindex 3integral-algebraic equationsnumerical treatmentorthogonal polynomial collocation methods

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20)

Related Items (2)

Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type ⋮ On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels

Cites Work

• Jacobi spectral solution for integral algebraic equations of index-2
• Two-dimensional integral-algebraic systems: analysis and computational methods
• Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
• The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods
• Numerical solution of integral-algebraic equations for multistep methods
• Integral-Algebraic Equations: Theory of Collocation Methods I
• Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
• ON THE CONVERGENCE ANALYSIS OF THE SPLINE COLLOCATION METHOD FOR SYSTEM OF INTEGRAL ALGEBRAIC EQUATIONS OF INDEX-2
• Spectral Methods for Time-Dependent Problems
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Solving Ordinary Differential Equations II
• Spectral Methods

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