(University of Management and Technology, 2016) Muhammad Aziz
In this thesis our goal is to develop a third-order parallel splitting algorithm
for solving linear partial di erential equation in two dimensions with non local
boundary condition. In this method third-order approximations are used to
approximate spatial derivative and Simpson's 1=3 rule is used to approximate
the non local boundary condition. Using this Parallel algorithm the results of
numerical experiments are examined, presented and compared with the exact
solution, as well as with the results already existed in the literature and found
to be highly accurate.