A New Generalized Chebyshev Matrix Algorithm for Solving Second-Order and Telegraph Partial Differential Equations
Sparad:
| I publikationen: | Algorithms vol. 18, no. 1 (2025), p. 2 |
|---|---|
| Huvudupphov: | |
| Övriga upphov: | , , |
| Utgiven: |
MDPI AG
|
| Ämnen: | |
| Länkar: | Citation/Abstract Full Text + Graphics Full Text - PDF |
| Taggar: |
Inga taggar, Lägg till första taggen!
|
MARC
| LEADER | 00000nab a2200000uu 4500 | ||
|---|---|---|---|
| 001 | 3159222455 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 1999-4893 | ||
| 024 | 7 | |a 10.3390/a18010002 |2 doi | |
| 035 | |a 3159222455 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 084 | |a 231333 |2 nlm | ||
| 100 | 1 | |a Waleed Mohamed Abd-Elhameed |u Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; <email>waleed@cu.edu.eg</email> | |
| 245 | 1 | |a A New Generalized Chebyshev Matrix Algorithm for Solving Second-Order and Telegraph Partial Differential Equations | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a This article proposes numerical algorithms for solving second-order and telegraph linear partial differential equations using a matrix approach that employs certain generalized Chebyshev polynomials as basis functions. This approach uses the operational matrix of derivatives of the generalized Chebyshev polynomials and applies the collocation method to convert the equations with their underlying conditions into algebraic systems of equations that can be numerically treated. The convergence and error bounds are examined deeply. Some numerical examples are shown to demonstrate the efficiency and applicability of the proposed algorithms. | |
| 653 | |a Chebyshev approximation | ||
| 653 | |a Basis functions | ||
| 653 | |a Approximation | ||
| 653 | |a Numerical analysis | ||
| 653 | |a Algorithms | ||
| 653 | |a Methods | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Polynomials | ||
| 653 | |a Mathematical analysis | ||
| 653 | |a Collocation methods | ||
| 700 | 1 | |a Hafez, Ramy M |u Department of Mathematics, Faculty of Education, Matrouh University, Cairo 51511, Egypt; <email>r_mhafez@yahoo.com</email> | |
| 700 | 1 | |a Napoli, Anna |u Department of Mathematics and Computer Science, University of Calabria, 87036 Rende, Italy | |
| 700 | 1 | |a Ahmed Gamal Atta |u Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11341, Egypt; <email>ahmed_gamal@edu.asu.edu.eg</email> | |
| 773 | 0 | |t Algorithms |g vol. 18, no. 1 (2025), p. 2 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3159222455/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3159222455/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3159222455/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |