A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS
Nassar, M., raslan, K., Ramadan, M. (2020). A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS. EKB Journal Management System, 31(Issue 1-B), 22-35. doi: 10.21608/absb.2020.111484
Mahmoud Abd El ghany Nassar; Kamal R. raslan; Mohamed Ramadan. "A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS". EKB Journal Management System, 31, Issue 1-B, 2020, 22-35. doi: 10.21608/absb.2020.111484
Nassar, M., raslan, K., Ramadan, M. (2020). 'A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS', EKB Journal Management System, 31(Issue 1-B), pp. 22-35. doi: 10.21608/absb.2020.111484
Nassar, M., raslan, K., Ramadan, M. A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS. EKB Journal Management System, 2020; 31(Issue 1-B): 22-35. doi: 10.21608/absb.2020.111484

A NEW IMPROVED SCHEME FOR PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS IN SEMI-INFINITE DOMAIN VIA DOUBLE RATIONAL CHEBYSHEV FUNCTIONS

Al-Azhar Bulletin of Science
Article 3, Volume 31, Issue 1-B, June 2020, Page 22-35  XML PDF (957.04 K)
Document Type: Original Article
DOI: 10.21608/absb.2020.111484
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Authors
Mahmoud Abd El ghany Nassar1; Kamal R. raslan2; Mohamed Ramadan email 3
1Al Azhar university mathematics department
2Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Egypt
3Faculty of Science, Menoufia University, Shebein El-Koom, Egypt.
Abstract
The concept of double rational Chebyshev functions on the semi-infinite domain () and some of their properties are introduced in this work. Also, the definition of derivatives for double rational Chebyshev functions is improved.  This new definition is employed to deal with partial differential equations with variable coefficients derived on the interval. The new definition with the spectral collocation method generates a new improved scheme. Numerical results are show that demonstrates the validity and applicability of the two techniques. The obtained numerical results are compared with the exact solution where it shown to be very attractive with good accuracy.
Keywords
Double rational Chebyshev (DRC) functions; partial differential equations (PDEs); semi-infinite domain; collocation method
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