SPECIAL ISSUE PAPER
Numerical solutions of fuzzy time fractional advection-diffusion equations in double parametric form of fuzzy number
Hamzeh Zureigat,
Ahmad Izani Ismail,
Saratha Sathasivam,
Corresponding Author
Hamzeh Zureigat
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Correspondence
Hamzeh Zureigat, School of Mathematical Sciences Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia.
Email: [email protected]
Communicated by: D. Zeidan
Search for more papers by this authorAhmad Izani Ismail
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Search for more papers by this authorSaratha Sathasivam
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Search for more papers by this authorHamzeh Zureigat,
Ahmad Izani Ismail,
Saratha Sathasivam,
Corresponding Author
Hamzeh Zureigat
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Correspondence
Hamzeh Zureigat, School of Mathematical Sciences Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia.
Email: [email protected]
Communicated by: D. Zeidan
Search for more papers by this authorAhmad Izani Ismail
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Search for more papers by this authorSaratha Sathasivam
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia
Search for more papers by this authorAbstract
Fractional partial differential equations are a generalization of classical partial differential equations which can, in certain circumstances, give a better description of certain phenomena. In this paper, two implicit finite difference schemes are developed, analyzed, and applied to solve an initial boundary value problem involving fuzzy time fractional advection-diffusion equation with fractional order 0<α≤1. The fuzziness of the problem considered appears in the initial and boundary conditions. A computational mechanism is presented based on double parametric form of fuzzy number to transfer the problem from uncertain to crisp form. The stability of the proposed schemes is analyzed by means of the Von Neumann method and were found to be unconditionally stable. The scheme was applied to an example to illustrate the feasibility.
Conflict of interest
All authors declare they have no conflict of interest.
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