Fifth order numerical method for heat equation with nonlocal boundary conditions

Simple item page
dc.contributor.authorM. A. REHMAN
dc.contributor.authorM. S. A. TAJ
dc.contributor.authorS. A. MARDAN
dc.date.accessioned2015-03-05T16:09:07Z
dc.date.available2015-03-05T16:09:07Z
dc.date.issued2014
dc.description.abstractThis paper deals with numerical method for the approximate solution of one dimensional heat equation ut = uxx +q(x; t) with integral boundary conditions. The integral conditions are approximated by Simpson’s 13 rule while the space derivatives are approximated by fifth-order difference approximations. The method of lines, semi discretization approach is used to transform the model partial differential equation into a system of first-order linear ordinary differential equations whose solution satisfies a recurrence relation involving matrix exponential function. The method developed is L-acceptable, fifth-order accurate in space and time and do not required the use of complex arithmetic. A parallel algorithm is also developed and implemented on several problems from literature and found highly accurate when compared with the exact ones and alternative techniques.en_US
dc.identifier.citation30. Rehman, M., Taj, M., & Mardan, S. (2014). Fifth order numerical method for heat equation with nonlocal boundary conditions. Journal of Mathematical and Computational Science, 4(6), 1044-1054.en_US
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/1432
dc.language.isoenen_US
dc.publisherJournal of Mathematical and Computational Scienceen_US
dc.subjectheat equationen_US
dc.subjectnonlocal boundary conditionen_US
dc.subjectfifth-order numerical methodsen_US
dc.subjectmethod of linesen_US
dc.subjectparallel algorithmen_US
dc.titleFifth order numerical method for heat equation with nonlocal boundary conditionsen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
FIFTH ORDER NUMERICAL METHOD FOR HEAT EQUATION WITH.pdf
Size:
133.48 KB
Format:
Adobe Portable Document Format
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