In this paper, we present a new approach to resolve linear weakly-singular partial integro-differential
equations by first removing the singularity using Taylor's approximation and transform the given partial integrodifferential
equations into an partial differential equation. After that the fourth order compact finite difference
scheme and collocation method is presented to obtain system of algebraic equations which solved to compute the
unknown function. The efficiency and accuracy of the method is validated by its application to several distinct test
problems which have exact solutions.