Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractional-order Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics.
The fractional-order Riccati differential equations converted into a system of algebraic equations using Legendre wavelet operational matrix.
Solutions given by the proposed scheme are more accurate and reliable and they are compared with recently developed numerical, analytical, and stochastic approaches.
Comparison shows that the proposed LWM approach has a greater performance and less computational effort for getting accurate solutions.
Further existence and uniqueness of the proposed problem are given and moreover the condition of convergence is verified.
American Psychological Association (APA)
Balaji, S.. 2014. Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-461894
Modern Language Association (MLA)
Balaji, S.. Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-461894
American Medical Association (AMA)
Balaji, S.. Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-461894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461894