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

Authors

Mahmoud Nassar, Al Azhar university mathematics departmentFollow
Kamal raslan, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, EgyptFollow
Mohamed Ramadan, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt.Follow

Corresponding Author

Ramadan, Mohamed

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Double rational Chebyshev (DRC) functions; partial differential equations (PDEs); semi-infinite domain; collocation method

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.

How to Cite This Article

Nassar, Mahmoud; raslan, Kamal; and Ramadan, Mohamed (2020) "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: Vol. 31: Iss. 1, Article 8.
DOI: https://doi.org/10.21608/absb.2020.111484