Browsing Faculty of Science and Engineering by Publisher "Kent State University/Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences"
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An implicit finite difference approximation for the solution of the diffusion equation with distributed order in timeIn this paper we are concerned with the numerical solution of a diffusion equation in which the time order derivative is distributed over the interval [0,1]. An implicit numerical method is presented and its unconditional stability and convergence are proved. A numerical example is provided to illustrate the obtained theoretical results.