PELL POLYNOMIAL APPROACH FOR DIRICHLET PROBLEM RELATED TO PARTIAL DIFFERENTIAL EQUATIONS
| dc.contributor.author | Cayan, S | |
| dc.contributor.author | Sezer, M | |
| dc.date.accessioned | 2024-07-18T11:46:50Z | |
| dc.date.available | 2024-07-18T11:46:50Z | |
| dc.description.abstract | Dirichlet problem is one of the major problems of the theory of partial differential equations and occurs in several physical applications. In this study, a new numerical technique based on the Pell polynomials and collocation points is offered to obtain the approximate solution of Dirichlet problem for linear partial differential equations with variable coefficients. The method transforms the equation along with Dirichlet boundary conditions into a matrix equation with the unknown Pell coefficients by means of collocation points and operational matrices. The solution of this matrix equation yields the Pell coefficients of the solution function. Thereby, the approximate solution is obtained in the truncated Pell series form. Also, some examples together with error analysis technique based on residual functions are expensed to demonstrate the validity and applicability of the present method; the comparisons are fulfilled with existing results. | |
| dc.identifier.issn | 1844-9581 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/3060 | |
| dc.language.iso | English | |
| dc.publisher | EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE | |
| dc.subject | REGION | |
| dc.subject | TERMS | |
| dc.title | PELL POLYNOMIAL APPROACH FOR DIRICHLET PROBLEM RELATED TO PARTIAL DIFFERENTIAL EQUATIONS | |
| dc.type | Article |