Error analysis of the ultraspherical spectral-collocation method for high-index IAEs |
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| Authors: | S Pishbin |
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| Affiliation: | Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran |
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| Abstract: | The subject of integral-algebraic equations (IAEs) with index?>?2 is new in the literature and there are a few available results which investigate these systems. We will deal here with a particular class of IAEs of index-3 and analyse ultraspherical polynomials collocation method as well as convergence analysis for the numerical solution of these systems. Our error analysis of collocation method is based on polynomial approximation theory and results related to the interpolation error in Sobolev space. Numerical examples illustrate the theoretical results. |
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| Keywords: | Integral-algebraic equations index-3 orthogonal polynomial collocation methods convergence analysis numerical treatment |
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