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

Anatoly A. Alikhanov

Applied Mathematics and Computation, 2015, vol. 268, issue C, 12-22

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 a priory estimates. The credibility of the obtained results is verified by performing numerical calculations for test problems.

Keywords: Fractional order diffusion equation; Fractional derivative; A priori estimate; Difference scheme; Stability and convergence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:12-22

DOI: 10.1016/j.amc.2015.06.045

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