Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models

Joint Authors

Amryin, Rasha
Harun, Fatimah Nur
Alias, Azwani
al-Smadi, Muhammad

Source

Arab Journal of Basic and Applied Sciences

Issue

Vol. 29, Issue 1 (31 Jan. 2022), pp.65-76, 12 p.

Publisher

University of Bahrain College of Science

Publication Date

2022-01-31

Country of Publication

Bahrain

No. of Pages

12

Main Subjects

Natural & Life Sciences (Multidisciplinary)

Abstract EN

In this paper, we introduced, discussed, and investigated analytical-approximate solutions for nonlinear time fractional gas dynamics equations in terms of conformable differential operator.

The proposed algorithm relies upon the conformable power series method and residual error of the generalized Taylor series in terms of the conformable sense.

This technique provides analytical solutions in the form of rapid and accurate convergent series in terms of the multiple fractional power series with easily computable components.

In this direction, error estimation and convergence analysis for solutions of fractional gas dynamics equations are provided as well.

Eventually, several physical examples are tested to justify the theoretical portion and give a clear explanation of dynamic systems for the proposed model for different orders of fractional case b 2 ð 0, 1: The obtained numeric-analytic results indicate that the current algorithm is simple, effective, and profitably dealing with the complexity of many nonlinear fractional dispersion problems.

American Psychological Association (APA)

Amryin, Rasha& Harun, Fatimah Nur& al-Smadi, Muhammad& Alias, Azwani. 2022. Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models. Arab Journal of Basic and Applied Sciences،Vol. 29, no. 1, pp.65-76.
https://search.emarefa.net/detail/BIM-1340815

Modern Language Association (MLA)

al-Smadi, Muhammad…[et al.]. Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models. Arab Journal of Basic and Applied Sciences Vol. 29, no. 1 (2022), pp.65-76.
https://search.emarefa.net/detail/BIM-1340815

American Medical Association (AMA)

Amryin, Rasha& Harun, Fatimah Nur& al-Smadi, Muhammad& Alias, Azwani. Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models. Arab Journal of Basic and Applied Sciences. 2022. Vol. 29, no. 1, pp.65-76.
https://search.emarefa.net/detail/BIM-1340815

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 74-76

Record ID

BIM-1340815