Fourth order numerical method for the solution of heat equation with nonlocal boundary condition
| dc.contributor.author | Anam Zahra | |
| dc.date.accessioned | 2025-11-18T07:50:49Z | |
| dc.date.available | 2025-11-18T07:50:49Z | |
| dc.date.issued | 2017-12-15 | |
| dc.description.abstract | In this thesis, a numerical technique is developed for solving one-dimensional parabolic partial differential equation (PDE) with integral boundary conditions. The spatial derivative is approximated by a finite difference (FD) scheme, and by applying the method of lines, resulting in a system of ordinary differential equations (ODEs). Simpson’s 1/3 rule is used to tackle integral boundary conditions, and it also helps in removing additional variables to produce a system of N equations with N variables. This numerical method can be coded in sequential as well as parallel computing environments. | |
| dc.identifier.uri | https://escholar.umt.edu.pk/handle/123456789/10487 | |
| dc.language.iso | en | |
| dc.publisher | UMT Lahore | |
| dc.title | Fourth order numerical method for the solution of heat equation with nonlocal boundary condition | |
| dc.type | Thesis |
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