Displaying similar documents to “Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels.”

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

Babak Shiri, Sedaghat Shahmorad, Gholamreza Hojjati (2013)

International Journal of Applied Mathematics and Computer Science

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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...