Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  derive and analyse a compact difference scheme for a distributed-order time-fractional diffusion-wave equation. This equation is approximated by a multi-term fractional diffusion-wave equation, which is then solved by a compact difference scheme. The unique solvability of the difference solution is discussed. Using the discrete energy method,  prove the compact difference scheme is unconditionally stable and convergent. Finally, numerical results are presented to support our theoretical analysis.
['Haiping Ye', 'F. Liu', 'Vo Anh']
I am writing a research paper on a idea Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
[{"from": "human", "value": "I am writing a research paper on a idea Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  derive and analyse a compact difference scheme for a distributed-order time-fractional diffusion-wave equation. This equation is approximated by a multi-term fractional diffusion-wave equation, which is then solved by a compact difference scheme. The unique solvability of the difference solution is discussed. Using the discrete energy method,  prove the compact difference scheme is unconditionally stable and convergent. Finally, numerical results are presented to support our theoretical analysis."}]