Convergence Analysis of Piecewise Continuous Collocation Methods for Higher Index Integral Algebraic Equations of Hessenberg Type
نویسنده
چکیده
In this paper, we deals with a system of integral algebraic equations of Hessenberg type. Using a new definition of index the existence and uniqueness of solution for 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 order of convergence for the given numerical methods. Finally some numerical experiments are provided to support the theoretical results.
منابع مشابه
Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
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 investigate...
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