2017

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Third order parallel splitting techniques for the solution of two dimensional heat equation with nonlocal boundary condition
(UMT Lahore, 2017) Muhammad Aziz
In this thesis our goal is to develop a third-order parallel splitting algorithm for solving linear partial differential equations in two dimensions with non-local boundary conditions. In this method, third-order approximations are used to approximate spatial derivatives, 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 existing in the literature, and found to be highly accurate.