Approximate Solutions of Fisher's Type Equations with Variable Coefficients
Joint Authors
Bhrawy, Ali H.
Alghamdi, Mohammad Ali
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The spectral collocation approximations based on Legendre polynomials are used to compute the numerical solution of time-dependent Fisher’s type problems.
The spatial derivatives are collocated at a Legendre-Gauss-Lobatto interpolation nodes.
The proposed method has the advantage of reducing the problem to a system of ordinary differential equations in time.
The four-stage A-stable implicit Runge-Kutta scheme is applied to solve the resulted system of first order in time.
Numerical results show that the Legendre-Gauss-Lobatto collocation method is of high accuracy and is efficient for solving the Fisher’s type equations.
Also the results demonstrate that the proposed method is powerful algorithm for solving the nonlinear partial differential equations.
American Psychological Association (APA)
Bhrawy, Ali H.& Alghamdi, Mohammad Ali. 2013. Approximate Solutions of Fisher's Type Equations with Variable Coefficients. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452069
Modern Language Association (MLA)
Bhrawy, Ali H.& Alghamdi, Mohammad Ali. Approximate Solutions of Fisher's Type Equations with Variable Coefficients. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-452069
American Medical Association (AMA)
Bhrawy, Ali H.& Alghamdi, Mohammad Ali. Approximate Solutions of Fisher's Type Equations with Variable Coefficients. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-452069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452069