Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods
Abstract
In this paper, we deal with a system of linear and nonlinear integral algebraic equations (IAEs) of Hessenberg type. Convergence analysis of the discontinuous collocation methods is investigated for the large class of IAEs based on the new definitions. Finally, some numerical experiments are provided to support the theoretical results.
Keywords:
integral equation, collocation method, piecewise, integral algebraic equation, discontinuous piecewise collocation methods, continuous piecewise collocation methodsHow to Cite
Shiri, B. (2014). Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods. Mathematical Modelling and Analysis, 19(1), 99-117. https://doi.org/10.3846/13926292.2014.893455
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2014-02-20
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Copyright
Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Shiri, B. (2014). Numerical Solution of Higher Index Nonlinear Integral Algebraic Equations of Hessenberg Type Using Discontinuous Collocation Methods. Mathematical Modelling and Analysis, 19(1), 99-117. https://doi.org/10.3846/13926292.2014.893455