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Worst case error for integro-differential equations by a lattice-Nyström method

Author

Listed:
  • Rostamy Davoud

    (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

  • Jabbari Mohammad

    (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

  • Gadirian Mahshid

    (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

Abstract

In this paper, we make an offer of the lattice approximate method for solving a class of multi-dimensional integro-differential equations with the initial conditions. Also, we analyze the worst case error measured in weighted Korobov spaces for these equations. Finally, numerical examples complete this work.

Suggested Citation

  • Rostamy Davoud & Jabbari Mohammad & Gadirian Mahshid, 2013. "Worst case error for integro-differential equations by a lattice-Nyström method," Monte Carlo Methods and Applications, De Gruyter, vol. 19(4), pages 281-330, December.
    • Handle: RePEc:bpj:mcmeap:v:19:y:2013:i:4:p:281-330:n:3
    DOI: 10.1515/mcma-2013-0013
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