The stability of collocation methods for higher-order Volterra integro-differential equations | Zendy

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

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The stability of collocation methods for higher-order Volterra integro-differential equations

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.2005.3075

Subject(s) - mathematics , collocation method , collocation (remote sensing) , orthogonal collocation , volterra integral equation , polynomial , differential equation , stability (learning theory) , spline (mechanical) , integro differential equation , convergence (economics) , mathematical analysis , integral equation , ordinary differential equation , first order partial differential equation , computer science , structural engineering , engineering , machine learning , economic growth , economics

The numerical stability of the polynomial spline collocation method for general Volterra integro-differential equation is being considered. The convergence and stability of the new method are given and the efficiency of the new method is illustrated by examples. We also proved the conjecture suggested by Danciu in 1997 on the stability of the polynomial spline collocation method for the higher-order integro-differential equations

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