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A Higher-Order Approach For Time-Fractional Generalized Burgers' Equation

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dc.contributor.author Taneja, Komal
dc.contributor.author Deswal, Komal
dc.contributor.author Kumar, Devendra
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-11-22T11:54:13Z
dc.date.available 2023-11-22T11:54:13Z
dc.date.issued 2023
dc.identifier.citation Taneja, Komal...et al. (2023). "A Higher-Order Approach For Time-Fractional Generalized Burgers' Equation", Fractals-Complex Geometry Patterns And Scaling In Nature And Society, Vol.31, No.07 tr_TR
dc.identifier.issn 0218-348X
dc.identifier.uri http://hdl.handle.net/20.500.12416/6565
dc.description.abstract A fast higher-order scheme is established for solving inhomogeneous time-fractional generalized Burgers' equation. The time-fractional operator is taken as the modified operator with the Mittag-Leffler kernel. Through stability analysis, it has been demonstrated that the proposed numerical approach is unconditionally stable. The convergence of the numerical method is analyzed theoretically using von Neumann's method. It has been proved that the proposed numerical method is fourth-order convergent in space and second-order convergent in time in the L-2-norm. The scheme's proficiency and effectiveness are examined through two numerical experiments to validate the theoretical estimates. The tabular and graphical representations of numerical results confirm the high accuracy and versatility of the scheme. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0218348X23500676 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Mittag-Leffler Kernel tr_TR
dc.subject Compact Finite Difference Method tr_TR
dc.subject Time-Fractional Generalized Burgers’ Equation tr_TR
dc.subject Von-Neumann’s Method tr_TR
dc.subject Stability tr_TR
dc.subject Convergence tr_TR
dc.title A Higher-Order Approach For Time-Fractional Generalized Burgers' Equation tr_TR
dc.type article tr_TR
dc.relation.journal Fractals-Complex Geometry Patterns And Scaling In Nature And Society tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 31 tr_TR
dc.identifier.issue 07 tr_TR


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