The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation

Date

2011-10-01

Author

MERAL, GÜLNİHAL
Tezer, Münevver

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In this study, both the dual reciprocity boundary element method and the differential quadrature method are used to discretize spatially, initial and boundary value problems defined by single and system of nonlinear reaction-diffusion equations. The aim is to compare boundary only and a domain discretization method in terms of accuracy of solutions and computational cost. As the time integration scheme, the finite element method is used achieving solution in terms of time block with considerably large time steps. The comparison between the dual reciprocity boundary element method and the differential quadrature method solutions are made on some test problems. The results show that both methods achieve almost the same accuracy when they are combined with finite element method time discretization. However, as a method providing very good accuracy with considerably small number of grid points differential quadrature method is preferrable.

Subject Keywords

Modelling and Simulation, Applied Mathematics, Numerical Analysis

URI

https://hdl.handle.net/11511/44884

Journal

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

DOI

https://doi.org/10.1016/j.cnsns.2011.02.008

Collections

Department of Mathematics, Article

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Citation Formats

G. MERAL and M. Tezer, “The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation,” COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, pp. 3990–4005, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44884.