Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients
Joint Authors
Xu, Fei
Zu, Jian
Chen, Bochao
Qin, Li
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients.
By a general residual power series method, we construct the approximate analytical series solutions for differential equations with variable coefficients, including nonhomogeneous parabolic equations, fractional heat equations in 2D, and fractional wave equations in 3D.
These applications show that residual power series method is a simple, effective, and powerful method for seeking analytical series solutions of differential equations (especially for fractional differential equations) with variable coefficients.
American Psychological Association (APA)
Chen, Bochao& Qin, Li& Xu, Fei& Zu, Jian. 2018. Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152393
Modern Language Association (MLA)
Chen, Bochao…[et al.]. Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1152393
American Medical Association (AMA)
Chen, Bochao& Qin, Li& Xu, Fei& Zu, Jian. Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152393
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152393