TY - JOUR
T1 - Solution of a Singular Integral Equation by a Split-Interval Method
AU - Diogo , T.
AU - Ford , N. J.
AU - Lima , P. M.
AU - Thmas , S. M.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 63
EP - 73
PY - 2007
DA - 2007/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/851.html
KW - numerical methods, extrapolation, singular integral equation, Volterra equation.
AB - <p style="text-align: justify;">In this paper we give details of a new numerical method for
the solution of a singular integral equation of Volterra type that has
an infinite class of solutions. The split-interval method we have
adopted utilises a simple robust numerical method over an initial time
interval (which includes the singularity) combined with extrapolation.
We describe the method and give details of its order of convergence
together with examples that show its effectiveness.</p>