Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients
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 nonhomogen...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2394735 |
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| _version_ | 1849412319151390720 |
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| author | Bochao Chen Li Qin Fei Xu Jian Zu |
| author_facet | Bochao Chen Li Qin Fei Xu Jian Zu |
| author_sort | Bochao Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5bd53438e8bc4abfbb7f4be785a71099 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5bd53438e8bc4abfbb7f4be785a710992025-08-20T03:34:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/23947352394735Applications of General Residual Power Series Method to Differential Equations with Variable CoefficientsBochao Chen0Li Qin1Fei Xu2Jian Zu3School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ChinaThis 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.http://dx.doi.org/10.1155/2018/2394735 |
| spellingShingle | Bochao Chen Li Qin Fei Xu Jian Zu Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients Discrete Dynamics in Nature and Society |
| title | Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients |
| title_full | Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients |
| title_fullStr | Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients |
| title_full_unstemmed | Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients |
| title_short | Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients |
| title_sort | applications of general residual power series method to differential equations with variable coefficients |
| url | http://dx.doi.org/10.1155/2018/2394735 |
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