Abstract
Here, the solution in one, two and three dimensional for the Volterra–Fredholm integral equation of the first kind is obtained in the space
L
2(Ω)×C[0,T]
,
T<∞. Using a numerical method the integral equation of Volterra–Fredholm becomes a linear system of Fredholm integral equation when that the kernel of Fredholm integral takes a logarithmic form, Carleman function, generalized potential function and Macdonald function are considered as special cases.