Exponential B-splines Galerkin Method for the Numerical Solution of the Fisher’s Equation
| Autor: | İdris Dağ, Melis Zorsahin Gorgulu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Mathematics
Mathematical analysis General Physics and Astronomy 010103 numerical & computational mathematics General Chemistry Finite element solution 01 natural sciences Maximum error Exponential function 010101 applied mathematics symbols.namesake Progressive wave Norm (mathematics) Traveling wave symbols General Earth and Planetary Sciences Fisher's equation 0101 mathematics General Agricultural and Biological Sciences Galerkin method Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 42:2189-2198 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-017-0403-x |
| Popis: | A finite element solution of the Fisher’s equation based on the Galerkin method whose weight and shape functions are exponential B-splines are constructed. A travelling wave propagation having analytical solution is studied to compare results in term of the maximum error norm. Both steep and flat initial disturbances are shown to see effects of the diffusion and reaction, form two progressive waves propagating in both opposite directions at long run of the algorithm. The shape and the speed of the long term progressive waves are observed not to depend on the initial disturbance. Graphical solutions and tabulated values are presented to show efficiency of the method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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