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arXiv · 1311.2035

Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

A. A. Alikhanov
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Abstract

Solutions of the Dirichlet and Robin boundary value problems for the multi-term variable-distributed order diffusion equation are studied. A priori estimates for the corresponding differential and difference problems are obtained by using the method of the energy inequalities. The stability and convergence of the difference schemes follow from these a priory estimates. The credibility of the obtained results is verified by performing numerical calculations for test problems.

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A. A. Alikhanov. 2013-11-08. Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation. https://arxiv.org/abs/1311.2035

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