Numerical investigation of the solution of Fisher's equation via the B‐spline Galerkin method |
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| Authors: | İdris Dağ Ali Şahin Alper Korkmaz |
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| Institution: | Department of Mathematics and Computer Science, Eskisehir Osmangazi University, Eskisehir 26480, Turkey |
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| Abstract: | The Galerkin method is used with quadratic B‐spline base functions to obtain the numerical solutions of Fisher's equation which is a one dimensional reaction‐diffusion equation. To observe the effects of reaction and diffusion, four test problems related to pulse disturbance, step disturbance, super‐speed wave and strong reaction are studied. A comparison is performed between the obtained numerical results and some earlier studies. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
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| Keywords: | B‐spline Fisher's equation Galerkin method |
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