Open Access Journal

ISSN : 2394-6849 (Online)

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

Open Access Journal

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

ISSN : 2394-6849 (Online)

Implementation of Numerical Methods for Partial Differential Equation Using Parallel Computing

Author : Mr. Akshay A. Jadhav 1 Mrs. Trupti P. Agarkar 2 Mr. Vishwesh A. Vyawahare 3 Mr. Mukesh D. Patil 4

Date of Publication :9th August 2017

Abstract: The performance and use of parallel computing in the field of differential calculus is increased tremendously opening up new avenues for applying these in the field of numerical computation for high speed performance. The computation time required to find analytical as well as numerical solution is tested and compared. In this work we have harnessed this property of GPU to accelerate the grid point calculations for numerical calculations and the performance of numerical method using CPU and GPU is compared. The numerical Methods for integer order PDE are studied, analyzed and implemented on GPU using parallel computing toolbox of MATLAB. The finite difference methods of PDE like explicit, implicit method are tested for the results, for parabolic, hyperbolic and elliptical type of PDE’s. The positive speed up is achieved for elliptical type of PDE. The verification of results with the analytical solution is made by the mean square error.

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