A Numerical Solution for Hirota-Satsuma Coupled KdV Equation
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A Petrov-Galerkin method and product approximation technique are used to solve numerically the Hirota-Satsuma coupled Korteweg-de Vries equation, using cubic B -splines as test functions and a linear B -spline as trial functions.
The implicit midpoint rule is used to advance the solution in time.
Newton’s method is used to solve the block nonlinear pentadiagonal system we have obtained.
The resulting schemes are of second order accuracy in both directions, space and time.
The von Neumann stability analysis of the schemes shows that the two schemes are unconditionally stable.
The single soliton solution and the conserved quantities are used to assess the accuracy and to show the robustness of the schemes.
The interaction of two solitons, three solitons, and birth of solitons is also discussed.
American Psychological Association (APA)
Ismail, M. S.& Ashi, H. A.. 2014. A Numerical Solution for Hirota-Satsuma Coupled KdV Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034028
Modern Language Association (MLA)
Ismail, M. S.& Ashi, H. A.. A Numerical Solution for Hirota-Satsuma Coupled KdV Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1034028
American Medical Association (AMA)
Ismail, M. S.& Ashi, H. A.. A Numerical Solution for Hirota-Satsuma Coupled KdV Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1034028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034028