Fourth order numerical method for the solution of heat equation with nonlocal boundary condition
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Date
2017
Authors
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Journal ISSN
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Publisher
University of Management and Technolog
Abstract
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
Description
Supervised by: Dr. Muhammad Aziz–ur–Rehman
Keywords
Difference (FD) scheme, Ordinary differential equations (ODEs). Simpson’s, MSC