TY - JOUR
T1 - Numerical solution of integral equations with logarithmic-, cauchy- and hadamard-type singularities
AU - Kabir, H.
AU - Madenci, E.
AU - Ortega, A.
PY - 1998
Y1 - 1998
N2 - This study presents an extension of the piecewise quadratic polynomial technique to solve singular integral equations with logarithmic- and Hadamard-type singularities. For completeness and continuity, the evaluation of the weights for logarithmic-, Cauchy- and Hadamard-type singularities are given explicitly. Numerical results concerning logarithmic- and Hadamard-type singular integral equations are compared with the known solutions. The solution of Cauchy-type singular integral equations was discussed in detail in a previous study by Miller and Keer.18
AB - This study presents an extension of the piecewise quadratic polynomial technique to solve singular integral equations with logarithmic- and Hadamard-type singularities. For completeness and continuity, the evaluation of the weights for logarithmic-, Cauchy- and Hadamard-type singularities are given explicitly. Numerical results concerning logarithmic- and Hadamard-type singular integral equations are compared with the known solutions. The solution of Cauchy-type singular integral equations was discussed in detail in a previous study by Miller and Keer.18
KW - Logarithmic-, Cauchy- and hadamard-type singularities
KW - Singular integral equations
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U2 - 10.1002/(SICI)1097-0207(19980228)41:4<617::AID-NME301>3.0.CO;2-K
DO - 10.1002/(SICI)1097-0207(19980228)41:4<617::AID-NME301>3.0.CO;2-K
M3 - Article
AN - SCOPUS:0032002438
SN - 0029-5981
VL - 41
SP - 617
EP - 638
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 4
ER -