Zahra, Anam2018-04-092018-04-092017https://escholar.umt.edu.pk/handle/123456789/2933Supervised by: Dr. Muhammad Aziz–ur–RehmanIn this thesis, a numerical technique is develop for solving one dimensional parabolic partial differential equation (PDE) with integral boundary conditions. Spatial derivative is approximated by finite difference (FD) scheme and by ap- plying method of lines, resulting a system of ordinary differential equations (ODEs). Simpson’s 1/3 rule is used to tackle integral boundary conditions and it also help in removing additional variables to produce a system of N equations with N variables. This numerical method can be coded on sequential as well as parallel computing environmentenDifference (FD) schemeOrdinary differential equations (ODEs). Simpson’sMSCThesis