Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations
Joint Authors
Wasim, Imtiaz
Amin, Muhammad
Abbas, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-18
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this study, we introduce a new numerical technique for solving nonlinear generalized Burgers-Fisher and Burgers-Huxley equations using hybrid B-spline collocation method.
This technique is based on usual finite difference scheme and Crank-Nicolson method which are used to discretize the time derivative and spatial derivatives, respectively.
Furthermore, hybrid B-spline function is utilized as interpolating functions in spatial dimension.
The scheme is verified unconditionally stable using the Von Neumann (Fourier) method.
Several test problems are considered to check the accuracy of the proposed scheme.
The numerical results are in good agreement with known exact solutions and the existing schemes in literature.
American Psychological Association (APA)
Wasim, Imtiaz& Abbas, Muhammad& Amin, Muhammad. 2018. Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1208238
Modern Language Association (MLA)
Wasim, Imtiaz…[et al.]. Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1208238
American Medical Association (AMA)
Wasim, Imtiaz& Abbas, Muhammad& Amin, Muhammad. Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1208238
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208238