Third-Order Numerical Method for the Solution of Heat Equation with Nonlocal Boundary Conditions
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of management and Technology
Abstract
A third order numerical technique is developed for solving one dimensional non-homogenous heat equation with integral boundary conditions. In this method second order spatial derivative is approximated by third order nite di erence approximation. The parallel splitting technique combined with Simpson's 1/3 rule is used to tackle this problem. This method is very precise due to highly accurate results.
Description
Supervised by: Dr. Muhammad Aziz–ur–Rehman
Keywords
Numerical technique,Integral boundary conditions, parallel splitting technique combined