The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation

S. Pishbin

Applied Mathematics and Computation, 2018, vol. 339, issue C, 93-104

Abstract: In this paper, we consider a semi-explicit form of Volterra integro-differential-algebraic equations (IDAEs) and investigate the existence and uniqueness of solution of these systems by using differentiability index. Numerical method based on discontinuous piecewise polynomial approximation is proposed for the solution of the semi-explicit IDAEs and global convergence results are established. The performance of the numerical scheme is illustrated by means of some test problems.

Keywords: Integro-differential-algebraic equations; Differentiability index; Piecewise polynomial collocation methods; Numerical treatment (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:93-104

DOI: 10.1016/j.amc.2018.07.009

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