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Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions

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  • K. Maleknejad
  • H. Safdari
  • M. Nouri

Abstract

This article proposes a simple efficient method for solving a Volterra integral equations system of the first kind. By using block pulse functions and their operational matrix of integration, a first kind integral equations system can be reduced to a linear system of algebraic equations. The coefficient matrix of this system is a block matrix with lower triangular blocks. Numerical examples show that the approximate solutions have a good degree of accuracy.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:195-199
    DOI: 10.1080/00207720903499824
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    Cited by:

    1. 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.

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