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

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  • Pishbin, S.

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.

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  • Pishbin, S., 2018. "The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 93-104.
    • Handle: RePEc:eee:apmaco:v:339:y:2018:i:c:p:93-104
    DOI: 10.1016/j.amc.2018.07.009
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    Cited by:

    1. Darania, P. & Pishbin, S., 2023. "Multistep collocation methods for integral-algebraic equations with non-vanishing delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 33-61.

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