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Analysis of Different Boundary Conditions on Homogeneous One-Dimensional Heat Equation

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dc.contributor.authorNorazlina Subanien_US
dc.contributor.authorMuhammad Aniq Qayyum Mohamad Sukryen_US
dc.contributor.authorMuhammad Arif Hannanen_US
dc.contributor.authorFaizzuddin Jamaluddinen_US
dc.contributor.authorAhmad Danial Hidayatullah Badrolhisamen_US
dc.date.accessioned2024-05-30T02:07:25Z
dc.date.available2024-05-30T02:07:25Z
dc.date.issued2021
dc.descriptionMJoSHT2021, Volume 7, Issue 1, eISSN: 2601-0003en_US
dc.description.abstractPartial differential equations involve results of unknown functions when there are multiple independent variables. There is a need for analytical solutions to ensure partial differential equations could be solved accurately. Thus, these partial differential equations could be solved using the right initial and boundaries conditions. In this light, boundary conditions depend on the general solution; the partial differential equations should present particular solutions when paired with varied boundary conditions. This study analysed the use of variable separation to provide an analytical solution of the homogeneous, one-dimensional heat equation. This study is applied to varied boundary conditions to examine the flow attributes of the heat equation. The solution is verified through different boundary conditions: Dirichlet, Neumann, and mixed-insulated boundary conditions. the initial value was kept constant despite the varied boundary conditions. There are two significant findings in this study. First, the temperature profile changes are influenced by the boundary conditions, and that the boundary conditions are dependent on the heat equation’s flow attributes.en_US
dc.identifier.citationSubani, N. ., Mohamad Sukry, M. A. Q. ., Hannan, M. A. ., Jamaluddin, F. ., & Badrolhisam, A. D. H. . (2021). Analysis of Different Boundary Conditions on Homogeneous One-Dimensional Heat Equation. Malaysian Journal of Science Health & Technology, 7(1), 15–21. https://doi.org/10.33102/mjosht.v7i1.153en_US
dc.identifier.doi10.33102/mjosht.v7i1.153
dc.identifier.doihttps://mjosht.usim.edu.my/index.php/mjosht/article/view/153
dc.identifier.epage21
dc.identifier.issn2601-0003
dc.identifier.issue1
dc.identifier.spage15
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/15438
dc.identifier.volume7
dc.language.isoenen_US
dc.publisherUSIM Pressen_US
dc.relation.ispartofMalaysian Journal of Science, Health & Technology (MJoSHT)en_US
dc.subjectSeparation of variables; one-dimensional flow; homogeneous heat equation; boundary conditions; analytical solutionen_US
dc.titleAnalysis of Different Boundary Conditions on Homogeneous One-Dimensional Heat Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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