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Abstract
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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
Submitted: May 17, 2013
Accepted: June 10, 2013
Published: January 27, 2014 |
Abstract:
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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 Pade’s approximation. Simpson’s 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.
Key words: Integral boundary conditions, method of lines, Pade’s approximations, parallel algorithm, Simpson’s 1/3 rule, ,
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Cite this Reference:
S.A. Mardan and M.A. Rehman, . Hybrid Numerical Method for Heat Equation with Nonlocal Boundary Conditions in Parallel Computing Environment. Research Journal of Applied Sciences, Engineering and Technology, (4): 832-838.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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