کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6421249 | 1631823 | 2014 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Convergence and stability analysis of the θ-method for delayed diffusion mathematical models Convergence and stability analysis of the θ-method for delayed diffusion mathematical models](/preview/png/6421249.png)
A number of nonlinear phenomena in many branches of the applied sciences and engineering are described in terms of delay differential equations, which arise when the evolution of a system depends both on its present and past time. In this work a θ-method is proposed to treat mixed problems for delay reaction-diffusion equations. The conditions so that the proposed reaction-diffusion model is asymptotically stable is studied. The numerical stability of the proposed scheme in study is analysed via the spectral radius condition and then a necessary and sufficient conditions so that our scheme is asymptotically stable in both cases, when θâ[0,1/2) and when θâ[1/2,1] is presented. The consistence and convergence are also studied. Numerical examples to validate the effectiveness of the method are included.
Journal: Applied Mathematics and Computation - Volume 231, 15 March 2014, Pages 16-25