Hypersingular Integrals Diffraction Cracks Fredholm Integral Equations Singular Integral Equations
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 13, No 1, (2010), 1p-8p
We give a procedure to reduce a hypersingular integral equation, arising
in 2d diffraction problems on cracks in elastic media, to a Fredholm integral
equation of the second kind, to which it is easier and more effectively to
apply numerical methods than to the initial hypersingular equation.