A diagonal splitting method for solving semidiscretized parabolic partial differential equations
| Title: | A diagonal splitting method for solving semidiscretized parabolic partial differential equations |
|---|---|
| Authors: | Hosseini, Rasool; Tatari, Mehdi |
| Contributors: | Institute for Research in Fundamental Sciences |
| Source: | Numerical Methods for Partial Differential Equations ; volume 36, issue 2, page 268-283 ; ISSN 0749-159X 1098-2426 |
| Publisher Information: | Wiley |
| Publication Year: | 2019 |
| Collection: | Wiley Online Library (Open Access Articles via Crossref) |
| Description: | In this work, a diagonal splitting idea is presented for solving linear systems of ordinary differential equations. The resulting methods are specially efficient for solving systems which have arisen from semidiscretization of parabolic partial differential equations (PDEs). Unconditional stability of methods for heat equation and advection–diffusion equation is shown in maximum norm. Generalization of the methods in higher dimensions is discussed. Some illustrative examples are presented to show efficiency of the new methods. |
| Document Type: | article in journal/newspaper |
| Language: | English |
| DOI: | 10.1002/num.22427 |
| Availability: | https://doi.org/10.1002/num.22427; https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fnum.22427; https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22427; https://onlinelibrary.wiley.com/doi/full-xml/10.1002/num.22427 |
| Rights: | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| Accession Number: | edsbas.33FD46DA |
| Database: | BASE |