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The stability of collocation methods for VIDEs of second order

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  • Edris Rawashdeh
  • Dave McDowell
  • Leela Rakesh

Abstract

Simplest results presented here are the stability criteria of collocation methods for the second-order Volterra integro differential equation (VIDE) by polynomial spline functions. The polynomial spline collocation method is stable if all eigenvalues of a matrix are in the unit disk and all eigenvalues with | λ | = 1 belong to a 1 × 1 Jordan block. Also many other conditions are derived depending upon the choice of collocation parameters used in the solution procedure.

Suggested Citation

  • Edris Rawashdeh & Dave McDowell & Leela Rakesh, 2005. "The stability of collocation methods for VIDEs of second order," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-18, January.
    • Handle: RePEc:hin:jijmms:170389
    DOI: 10.1155/IJMMS.2005.1049
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