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A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain
Joint Authors
Shateyi, Stanford
Toutounian, Faezeh
Tohidi, Emran
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper contributes a new matrix method for the solution of high-order linear complex differential equations with variable coefficients in rectangular domains under the considered initial conditions.
On the basis of the presented approach, the matrix forms of the Bernoulli polynomials and their derivatives are constructed, and then by substituting the collocation points into the matrix forms, the fundamental matrix equation is formed.
This matrix equation corresponds to a system of linear algebraic equations.
By solving this system, the unknown Bernoulli coefficients are determined and thus the approximate solutions are obtained.
Also, an error analysis based on the use of the Bernoulli polynomials is provided under several mild conditions.
To illustrate the efficiency of our method, some numerical examples are given.
American Psychological Association (APA)
Toutounian, Faezeh& Tohidi, Emran& Shateyi, Stanford. 2013. A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-500920
Modern Language Association (MLA)
Toutounian, Faezeh…[et al.]. A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-500920
American Medical Association (AMA)
Toutounian, Faezeh& Tohidi, Emran& Shateyi, Stanford. A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-500920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500920