Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity
Abstract
We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity. Global convergence estimates are derived and a collection of numerical results is given.
First published online: 14 Oct 2010
Keywords:
Volterra integral equation, weakly singular kernel, boundary singularity, collocation methodHow to Cite
Kolk, M., & Pedas, A. (2009). Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity. Mathematical Modelling and Analysis, 14(1), 79-89. https://doi.org/10.3846/1392-6292.2009.14.79-89
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2009-03-31
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Copyright
Copyright (c) 2009 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
Kolk, M., & Pedas, A. (2009). Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity. Mathematical Modelling and Analysis, 14(1), 79-89. https://doi.org/10.3846/1392-6292.2009.14.79-89