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2014 (Vol. 7, Issue: 4)
Article Information:

Hybrid Numerical Method for Heat Equation with Nonlocal Boundary Conditions in Parallel Computing Environment

S.A. Mardan and M.A. Rehman
Corresponding Author:  M.A. Rehman 

Key words:  Integral boundary conditions, method of lines, Padeís approximations, parallel algorithm, Simpsonís 1/3 rule, ,
Vol. 7 , (4): 832-838
Submitted Accepted Published
May 17, 2013 June 10, 2013 January 27, 2014
Abstract:

A numerical method is developed for solving parabolic partial differential equations with integral boundary conditions. The method is moderately sixth-order accurate due to merging of sixth order finite difference scheme and fifth order Padeís approximation. Simpsonís 1/3 rule is used to approximate integral conditions. The method does not involve the use of complex arithmetic and optimizes the results. It is observed that this numerical method can be easily coded on serial as well as parallel computers.
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  Cite this Reference:
S.A. Mardan and M.A. Rehman, 2014. Hybrid Numerical Method for Heat Equation with Nonlocal Boundary Conditions in Parallel Computing Environment.  Research Journal of Applied Sciences, Engineering and Technology, 7(4): 832-838.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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