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Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • M. Kolk

    (University of Tartu, Institute of Mathematics)

  • A. Pedas

    (University of Tartu, Institute of Mathematics)

Abstract

We propose a numerical method for solving linear Volterra integral equations of the second kind with logarithmic kernels which, in addition to a diagonal singularity, may have a weak boundary singularity. The attainable order of global and local convergence of proposed algorithms is discussed and a collection of numerical results is given.

Suggested Citation

  • M. Kolk & A. Pedas, 2013. "Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 201-208, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_22
    DOI: 10.1007/978-3-642-33134-3_22
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