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A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation
Joint Authors
Gachpazan, M.
Erfani, Kh.
Shateyi, Stanford
Tohidi, Emran
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new and efficient numerical approach is developed for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation.
The fundamental structure of the presented method is based on the Tau method together with the Bernoulli polynomial approximations in which a new operational matrix is introduced.
After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients.
Also, under several mild conditions the error analysis of the proposed method is provided.
Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods.
All calculations are done in Maple 13.
American Psychological Association (APA)
Tohidi, Emran& Erfani, Kh.& Gachpazan, M.& Shateyi, Stanford. 2013. A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-503188
Modern Language Association (MLA)
Tohidi, Emran…[et al.]. A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-503188
American Medical Association (AMA)
Tohidi, Emran& Erfani, Kh.& Gachpazan, M.& Shateyi, Stanford. A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-503188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503188