(University of Management and Technolog, 2017) Zahra, Anam
In 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 environment