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In this paper, numerical theory based on the mixed finite-element method and finite difference analog of the Caputo fractional derivative for multi-term time-fractional diffusion equations and diffusion-wave equations is analyzed.… Click to show full abstract
In this paper, numerical theory based on the mixed finite-element method and finite difference analog of the Caputo fractional derivative for multi-term time-fractional diffusion equations and diffusion-wave equations is analyzed. The unconditional stability and convergence results are proved for the two resulting fully discrete schemes. Finally, the obtained results are supported by numerical experiments carried out for some test problems.
Keywords:
finite element;
diffusion;
mixed finite;
element method;
term time;
multi term
Journal Title: Computational and Applied Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Computational and Applied Mathematics
Year Published: 2018
Link to full text (if available)
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recommendations!