| dc.contributor.author | Shojaei, Iman | en_US |
| dc.contributor.author | Rahami, Hossein | en_US |
| dc.date.accessioned | 1399-07-09T06:07:38Z | fa_IR |
| dc.date.accessioned | 2020-09-30T06:07:38Z | |
| dc.date.available | 1399-07-09T06:07:38Z | fa_IR |
| dc.date.available | 2020-09-30T06:07:38Z | |
| dc.date.issued | 2019-06-01 | en_US |
| dc.date.issued | 1398-03-11 | fa_IR |
| dc.date.submitted | 2018-08-15 | en_US |
| dc.date.submitted | 1397-05-24 | fa_IR |
| dc.identifier.citation | Shojaei, Iman, Rahami, Hossein. (2019). A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method. Journal of Algorithms and Computation, 51(1), 71-77. | en_US |
| dc.identifier.issn | 2476-2776 | |
| dc.identifier.issn | 2476-2784 | |
| dc.identifier.uri | https://jac.ut.ac.ir/article_71297.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/296019 | |
| dc.description.abstract | In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than solving the problem in each step using conventional iterative methods, a closed-form solution is formulated.. | en_US |
| dc.format.extent | 234 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | University of Tehran | en_US |
| dc.relation.ispartof | Journal of Algorithms and Computation | en_US |
| dc.subject | diffusion equation | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | convergence and stability | en_US |
| dc.title | A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Department of Biomedical Engineering, University of Kentucky, Lexington, KY 40506, USA. | en_US |
| dc.contributor.department | School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran | en_US |
| dc.citation.volume | 51 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 71 | |
| dc.citation.epage | 77 | |
| nlai.contributor.orcid | 0000-0001-7540-8412 | |
