A semi-analytic spectral method for elliptic partial differential equations
| dc.contributor.author | Ali, Ishtiaq | |
| dc.contributor.author | Saleem, Maliha Tahseen | |
| dc.date.accessioned | 2022-03-28T16:47:16Z | |
| dc.date.available | 2022-03-28T16:47:16Z | |
| dc.date.issued | 2017-02-10 | |
| dc.description.abstract | In this article we present a semi-analytic method for solving elliptic partial differential equations. The technique is based on using a spectral method approximation for the second-order derivative in one of the spatial directions followed by solving the resulting system of second-order differential equations by an analytic method. That is, the system of second-order two-point boundary-value problems are solved analytically by casting them in first-order form and solving the resulting set of first-order equations by using the matrix exponential. An important aspect of our technique is that the solution obtained is semi-analytic, e.i., using analytic method in y and spectral method in x. The new method can be used for both linear and non-linear boundary conditions as well as for nonlinear elliptic partial differential equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ali, I., & Saleem, M. T. (2017). A semi-analytic spectral method for elliptic partial differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(43), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15567 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Semi-analytical technique | |
| dc.subject | Chebyshev-spectral method | |
| dc.subject | Exponential matrix | |
| dc.title | A semi-analytic spectral method for elliptic partial differential equations | |
| dc.type | Article |