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

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.

21 pages, 6 tables. This version generalizes the previos one

References in corpus (1)

• Fractional Cauchy problems on bounded domains

Cited by in corpus (3)

• A new difference scheme for the time fractional diffusion equation
• Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation
• A difference method of solving the Steklov nonlocal boundary value problem of the second kind for the time-fractional diffusion equation