Optimal System and Invariant Solutions of the Hyperbolic Heat Equations

dc.contributor.author	Javed, Khadija
dc.date.accessioned	2024-05-27T08:07:47Z
dc.date.available	2024-05-27T08:07:47Z
dc.date.issued	2024-03-12
dc.identifier.other	365205
dc.identifier.uri	http://10.250.8.41:8080/xmlui/handle/123456789/43599
dc.description	MS-Math Thesis	en_US
dc.description.abstract	In this research study, we use the Lie symmetry analysis and the optimal systems of subalgebras that underlie it to study the invariant solutions to the nonlinear hyperbolic heat equation. Optimal systems of two specific cases for the equation are obtained. We apply an invariance method to determine the optimal set of non-similar symmetry generators for the nonlinear hyperbolic heat equation and present the results in a con venient tree leaf diagram. Complete symmetry reductions and the invariant solutions corresponding to each case are computed. Subsequently, a thorough analysis is pro vided, leading to a graphical representation of the solutions of non linear hyperbolic heat equation.	en_US
dc.description.sponsorship	Prof. Tooba Feroze	en_US
dc.language.iso	en	en_US
dc.publisher	National University of Sciences and Technology H-12, Islamabad, Pakistan	en_US
dc.title	Optimal System and Invariant Solutions of the Hyperbolic Heat Equations	en_US
dc.type	Thesis	en_US