The stability of collocation methods for VIDEs of second order | Zendy

Edris Rawashdeh | Zendy; D. G. McDowell | Zendy; Leela Rakesh | Zendy

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The stability of collocation methods for VIDEs of second order

Author(s) -

Edris Rawashdeh,

D. G. McDowell,

Leela Rakesh

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1049

Subject(s) - mathematics , collocation method , collocation (remote sensing) , eigenvalues and eigenvectors , algorithm , computer science , mathematical analysis , differential equation , physics , ordinary differential equation , machine learning , quantum mechanics

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 |ÃŽÂ»|=1 belong to a 1ÃƒÂ—1 Jordan block. Also many other conditions are derived depending upon the choice of collocation parameters used in the solution procedure

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