Fourth order numerical method for the solution of heat equation with nonlocal boundary condition

Simple item page
dc.contributor.authorZahra, Anam
dc.date.accessioned2018-04-09T08:00:41Z
dc.date.available2018-04-09T08:00:41Z
dc.date.issued2017
dc.descriptionSupervised by: Dr. Muhammad Aziz–ur–Rehmanen_US
dc.description.abstractIn this thesis, a numerical technique is develop for solving one dimensional parabolic partial differential equation (PDE) with integral boundary conditions. Spatial derivative is approximated by finite difference (FD) scheme and by ap- plying method of lines, resulting a system of ordinary differential equations (ODEs). Simpson’s 1/3 rule is used to tackle integral boundary conditions and it also help in removing additional variables to produce a system of N equations with N variables. This numerical method can be coded on sequential as well as parallel computing environmenten_US
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/2933
dc.language.isoenen_US
dc.publisherUniversity of Management and Technologen_US
dc.subjectDifference (FD) schemeen_US
dc.subjectOrdinary differential equations (ODEs). Simpson’sen_US
dc.subjectMSCen_US
dc.titleFourth order numerical method for the solution of heat equation with nonlocal boundary conditionen_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
Summary.pdf
Size:
97.02 KB
Format:
Adobe Portable Document Format
Description:
Download
No Thumbnail Available
Name:
For Full text.htm
Size:
22.2 KB
Format:
Hypertext Markup Language
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Department of Mathematics