Version 1
: Received: 12 September 2023 / Approved: 13 September 2023 / Online: 14 September 2023 (13:55:10 CEST)
How to cite:
Kapoor, M.; D. G., P.; P., V.; Turki, N.B.; Shah, N.A. Implementation of Elzaki HPM for Semi-Analytical Solution upon Two-Dimensional Fuzzy Fractional Heat Equation. Preprints2023, 2023090985. https://doi.org/10.20944/preprints202309.0985.v1
Kapoor, M.; D. G., P.; P., V.; Turki, N.B.; Shah, N.A. Implementation of Elzaki HPM for Semi-Analytical Solution upon Two-Dimensional Fuzzy Fractional Heat Equation. Preprints 2023, 2023090985. https://doi.org/10.20944/preprints202309.0985.v1
Kapoor, M.; D. G., P.; P., V.; Turki, N.B.; Shah, N.A. Implementation of Elzaki HPM for Semi-Analytical Solution upon Two-Dimensional Fuzzy Fractional Heat Equation. Preprints2023, 2023090985. https://doi.org/10.20944/preprints202309.0985.v1
APA Style
Kapoor, M., D. G., P., P., V., Turki, N.B., & Shah, N.A. (2023). Implementation of Elzaki HPM for Semi-Analytical Solution upon Two-Dimensional Fuzzy Fractional Heat Equation. Preprints. https://doi.org/10.20944/preprints202309.0985.v1
Chicago/Turabian Style
Kapoor, M., Nasser Bin Turki and Nehad Ali Shah. 2023 "Implementation of Elzaki HPM for Semi-Analytical Solution upon Two-Dimensional Fuzzy Fractional Heat Equation" Preprints. https://doi.org/10.20944/preprints202309.0985.v1
Abstract
In this research, a computation algorithm is established for a fractional order 2D fuzzy heat equation. In this study, Elzaki transform and HPM fusion is produced. Computing the desired outcome in series yields a fast convergence on an appropriate response. Examples are provided to support the conclusions, which are then compared with a particular approach to show the effectiveness and potential of the suggested approach. Two crisp equations—one for the lower bound solution and one for the upper bound solution are constructed from the input fuzzy fractional heat equation. The contour and surface representations of the approximate and exact results are offered for the lower and upper-bound solutions. The l∞-error norm is used in this study to validate the numerical convergence aspect. Together with the absolute inaccuracy, the approximate and exact solutions are matched. It has been demonstrated that the proposed regime will make it feasible to work with fuzzy fractional partial differential equations in a wide range of dimensions.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
