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Numerical solution of Volterra integral-algebraic equations using block pulse functions

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  • Balakumar, V.
  • Murugesan, K.

Abstract

This paper presents a method for computing numerical solutions for linear Volterra integral-algebraic equations using block pulse functions. The problem is transformed to a linear lower triangular system of algebraic equations using the operational matrix associated with block pulse functions. Convergence result and numerical examples are presented to illustrate the efficiency and applicability of the method.

Suggested Citation

  • Balakumar, V. & Murugesan, K., 2015. "Numerical solution of Volterra integral-algebraic equations using block pulse functions," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 165-170.
  • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:165-170
    DOI: 10.1016/j.amc.2015.04.035
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    References listed on IDEAS

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    1. K. Maleknejad & H. Safdari & M. Nouri, 2011. "Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 195-199.
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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.
    2. Sohrabi, S. & Ranjbar, H., 2019. "On Sinc discretization for systems of Volterra integral-algebraic equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 193-204.

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