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New solutions of fractional-order Burger-Huxley equation

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dc.contributor.authorInc, Mustafa
dc.contributor.authorPartohaghighi, Mohammad
dc.contributor.authorAkinlar, Mehmet Ali
dc.contributor.authorAgarwal, Paraveen
dc.contributor.authorChu, Yu-Ming
dc.date.accessioned2026-06-27T14:26:44Z
dc.date.issued2020
dc.description.abstractA simple and powerful numerical method is proposed for solving the time-fractional Burger-Huxley equation (TFBH) equation within Caputo type fractional derivative. A fictitious coordinate theta is applied into the equation in order to convert the dependent variable u(x, t) into a new variable with an extra dimension. In the new space with the added fictitious dimension, a combination of the method of line and group preserving scheme (GPS) is introduced to find the approximate solutions. The reliability and accuracy of this scheme has been shown through some examples of the TFBH equation.en
dc.description.sponsorshipNatural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485]
dc.description.urihttps://doi.org/10.1016/j.rinp.2020.103290
dc.identifier.doi10.1016/j.rinp.2020.103290
dc.identifier.issn2211-3797
dc.identifier.urihttps://hdl.handle.net/20.500.14981/60703
dc.identifier.volume18
dc.identifier.wos000577352600002
dc.language.isoeng
dc.publisherELSEVIER
dc.relation.ispartofRESULTS IN PHYSICS
dc.rightsopenAccess
dc.subjectBurger-Huxley equation
dc.subjectGroup preserving
dc.subjectCaputo derivative
dc.subjectFictitious time integration
dc.subjectGROUP PRESERVING SCHEME
dc.subjectDIFFUSION EQUATION
dc.subjectDIFFERENTIAL-EQUATIONS
dc.subjectNUMERICAL-SOLUTION
dc.subjectGEOMETRIC INTEGRATION
dc.subjectTIME
dc.subjectTERM
dc.subjectSOLVE
dc.subjectMaterials Science
dc.subjectPhysics
dc.titleNew solutions of fractional-order Burger-Huxley equation
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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