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Numerical Solution of Linear PDEs Using Chebyshev Differentiation Matrices | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اردیبهشت 1401 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2022.18799.1492 | ||
| نویسنده | ||
| Ghazaleh Aliasghari Namini* | ||
| Shahid Rajaee Teacher Training University, Tehran, Iran | ||
| تاریخ دریافت: 27 اردیبهشت 1399، تاریخ پذیرش: 13 شهریور 1400 | ||
| چکیده | ||
| In this paper, we present Chebyshev spectral collocation method to the solve linear partial differential equations (PDEs) with variable coefficients subject to a given initial and boundary conditions. First, we introduce an approximation to the unknown function and its derivatives by using Chebyshev differentiation matrices. Secondly, the operational matrix of differentiation and Chebyshev polynomials are used to convert our problem to a system of linear equations. Finally, the effectiveness of the method is illustrated in numerical experiment such as Poisson equation. | ||
| کلیدواژه‌ها | ||
| Numerical Differentiation؛ Spectral collocation method؛ Chebyshev polynomials | ||
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آمار تعداد مشاهده مقاله: 209 |
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