A numerical technique for heat equation subject to integral specifications
| dc.contributor.author | Muhammad Aziz Ur Rehman | |
| dc.contributor.author | M. S. A. Taj | |
| dc.date.accessioned | 2012-11-08T08:20:05Z | |
| dc.date.available | 2012-11-08T08:20:05Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | This paper deals with numerical method for the approximate solution of one-dimensional heat equation with integral boundary conditions. The integral conditions are approximated by using Simpson’s 1/3 rule while the space derivatives are approximated by third-order finite difference approximations. Then method of lines, semidiscritization 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, third-order accurate in space and time and do not require the use of complex arithmetic. A parallel algorithm is also developed and implemented on several problems from literature and found to be highly accurate when compared with the exact ones and alternative techniques. | en_US |
| dc.identifier.citation | Sci.Int.(Lahore), 24(1), 1-6, 2011 | en_US |
| dc.identifier.issn | 1013-5316 | |
| dc.identifier.uri | https://escholar.umt.edu.pk/handle/123456789/636 | |
| dc.language.iso | en | en_US |
| dc.publisher | Science International | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Parallel Algorithm | en_US |
| dc.subject | Third Order Numerical Methods | en_US |
| dc.subject | Method of Lines | en_US |
| dc.subject | Boundary Integral Specifications | en_US |
| dc.title | A numerical technique for heat equation subject to integral specifications | en_US |
| dc.type | Article | en_US |