The solution of two dimensional heat equation with nonlocal boundary condition
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Date
2016
Authors
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Journal ISSN
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Publisher
University of Management and Technology
Abstract
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.
Description
Supervised by: Dr. Muhammad Aziz ur Rehman
Keywords
MS Thesis, Heat equation, Nonlocal boundary condition