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Numerical Solution to Coupled Burgers’ Equations by Gaussian-Based Hermite Collocation Scheme
Joint Authors
Chuathong, Nissaya
Kaennakham, Sayan
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-27
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
One of the most challenging PDE forms in fluid dynamics namely Burgers equations is solved numerically in this work.
Its transient, nonlinear, and coupling structure are carefully treated.
The Hermite type of collocation mesh-free method is applied to the spatial terms and the 4th-order Runge Kutta is adopted to discretize the governing equations in time.
The method is applied in conjunction with the Gaussian radial basis function.
The effect of viscous force at high Reynolds number up to 1,300 is investigated using the method.
For the purpose of validation, a conventional global collocation scheme (also known as “Kansa” method) is applied parallelly.
Solutions obtained are validated against the exact solution and also with some other numerical works available in literature when possible.
American Psychological Association (APA)
Chuathong, Nissaya& Kaennakham, Sayan. 2018. Numerical Solution to Coupled Burgers’ Equations by Gaussian-Based Hermite Collocation Scheme. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1176000
Modern Language Association (MLA)
Chuathong, Nissaya& Kaennakham, Sayan. Numerical Solution to Coupled Burgers’ Equations by Gaussian-Based Hermite Collocation Scheme. Journal of Applied Mathematics No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1176000
American Medical Association (AMA)
Chuathong, Nissaya& Kaennakham, Sayan. Numerical Solution to Coupled Burgers’ Equations by Gaussian-Based Hermite Collocation Scheme. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1176000
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176000