Tariq, Kanwal2018-07-312018-07-312017https://escholar.umt.edu.pk/handle/123456789/3074Supervised by: Dr. Muhammad Aziz–ur–RehmanA third order numerical technique is developed for solving one dimensional non-homogenous heat equation with integral boundary conditions. In this method second order spatial derivative is approximated by third order nite di erence approximation. The parallel splitting technique combined with Simpson's 1/3 rule is used to tackle this problem. This method is very precise due to highly accurate results.enNumerical technique,Integral boundary conditionsparallel splitting technique combinedThesis