An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation
Joint Authors
Pourghanbar, Somayeh
Manafian, Jalil
Ranjbar, Mojtaba
Aliyeva, Aynura
Gasimov, Yusif S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, the Saul’yev finite difference scheme for a fully nonlinear partial differential equation with initial and boundary conditions is analyzed.
The main advantage of this scheme is that it is unconditionally stable and explicit.
Consistency and monotonicity of the scheme are discussed.
Several finite difference schemes are used to compare the Saul’yev scheme with them.
Numerical illustrations are given to demonstrate the efficiency and robustness of the scheme.
In each case, it is found that the elapsed time for the Saul’yev scheme is shortest, and the solution by the Saul’yev scheme is nearest to the Crank–Nicolson method.
American Psychological Association (APA)
Pourghanbar, Somayeh& Manafian, Jalil& Ranjbar, Mojtaba& Aliyeva, Aynura& Gasimov, Yusif S.. 2020. An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202385
Modern Language Association (MLA)
Pourghanbar, Somayeh…[et al.]. An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1202385
American Medical Association (AMA)
Pourghanbar, Somayeh& Manafian, Jalil& Ranjbar, Mojtaba& Aliyeva, Aynura& Gasimov, Yusif S.. An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1202385
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202385