Publication:
Numerical Solution of Homogeneous One-Dimensional Heat Equation Using Crank-Nicolson Method

dc.contributor.authorFaizzuddin Jamaluddinen_US
dc.contributor.authorAhmad Danial Hidayatullah Badrolhisamen_US
dc.contributor.authorMuhammad Arif Hannan Mohameden_US
dc.contributor.authorMuhammad Aniq Qayyum Mohamad Sukryen_US
dc.contributor.authorNorazlina Subanien_US
dc.date.accessioned2024-05-30T03:39:49Z
dc.date.available2024-05-30T03:39:49Z
dc.date.issued2021-02-18
dc.descriptionE-Proceeding: Insan Junior Researcher International Conference (iJURECON) 2020 Date: 17-18 November 2020 Organized by: Kolej Genius Insan Virtual Conference Page:25-31en_US
dc.description.abstractA partial differential equation is an equation which includes derivatives of an unknown function with respect to two or more independent variables. The numerical solution is needed to obtain the solution of partial differential equation. To solve these partial differential equations, the appropriate boundary and initial conditions are needed. The general solution is dependent not only on the equation, but also on the boundary conditions. In other words, these partial differential equations will have different general solution when paired with different sets of boundary conditions. In the present study, the homogeneous one-dimensional heat equation will be solved numerically by using Implicit Crank Nicolson method. Our main objective is to determine the flow characteristics of heat equation with Dirichlet boundary condition on homogeneous heat equation. The method of Implicit Crank Nicolson has been chosen because of the stability of the method. The results have been compared with the exact analytical solution. The validated results show that the numerical results remains same as the exact analytical solutions. The results show that the changes of the temperature profile depends on the types of boundary conditions. The boundary conditions will be affected the flow characteristics of the heat equation.en_US
dc.identifier.epage31
dc.identifier.spage25
dc.identifier.urihttps://geniusinsan.usim.edu.my/
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/16372
dc.language.isoen_USen_US
dc.publisherUniversiti Sains Islam Malaysiaen_US
dc.relation.conferenceE-Proceeding: Insan Junior Researcher International Conference (iJURECON) 2020en_US
dc.subjectGENIUS INAQ, heat equation, homogeneous one-dimensional, Dirichlet boundary conditions, Implicit Crank-Nicolson methoden_US
dc.titleNumerical Solution of Homogeneous One-Dimensional Heat Equation Using Crank-Nicolson Methoden_US
dc.typeOtheren_US
dspace.entity.typePublication

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