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A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable

In: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Author

Listed:
  • Lok Pati Tripathi

    (IIT Goa, Department of Mathematics)

  • Amiya K. Pani

    (IIT Bombay, Department of Mathematics, Industrial Mathematics Group)

  • Graeme Fairweather

    (American Mathematical Society, Mathematical Reviews)

Abstract

In this article, a qualocation method is formulated and analyzed for parabolic partial integro-differential equations in one space variable. Using a new Ritz–Volterra type projection, optimal rates of convergence are derived. Based on the second-order backward differentiation formula, a fully discrete scheme is formulated and a convergence analysis is derived. Results of numerical experiments are presented which support the theoretical results.

Suggested Citation

  • Lok Pati Tripathi & Amiya K. Pani & Graeme Fairweather, 2018. "A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable," Springer Books, in: Josef Dick & Frances Y. Kuo & Henryk Woźniakowski (ed.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pages 1147-1174, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-72456-0_53
    DOI: 10.1007/978-3-319-72456-0_53
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