TY - JOUR
T1 - A novel variant of a product integration method and its relation to discrete fractional calculus
AU - McKee, S.
AU - Cuminato, Jose A.
PY - 2017/4/30
Y1 - 2017/4/30
N2 - A new integration technique, which is suitable for integrands with multiple weak singularities, is introduced. Local truncation errors are given. This scheme, when applied to the Beta function, is shown to emerge naturally from discrete fractional integration. To illustrate the effectiveness of the integration method a numerical example is provided, with somewhat unexpected convergence results.
AB - A new integration technique, which is suitable for integrands with multiple weak singularities, is introduced. Local truncation errors are given. This scheme, when applied to the Beta function, is shown to emerge naturally from discrete fractional integration. To illustrate the effectiveness of the integration method a numerical example is provided, with somewhat unexpected convergence results.
KW - Abel equation
KW - discrete fractional calculus
KW - numerical integration
KW - singular integrand
UR - http://www.scopus.com/inward/record.url?scp=85006127236&partnerID=8YFLogxK
UR - https://www.sciencedirect.com/journal/applied-numerical-mathematics
U2 - 10.1016/j.apnum.2016.09.014
DO - 10.1016/j.apnum.2016.09.014
M3 - Article
AN - SCOPUS:85006127236
SN - 0168-9274
VL - 114
SP - 179
EP - 187
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -