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Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type

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Shiri B., Shahmorad S., Hojjati G.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 2

341-355

In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Hojjati G.

1 Shahmorad S.

1 Shiri B.

1 2013

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Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type