Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations
In this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numer...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/6696414 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555247040462848 |
|---|---|
| author | Seyyedeh Roodabeh Moosavi Noori Nasir Taghizadeh |
| author_facet | Seyyedeh Roodabeh Moosavi Noori Nasir Taghizadeh |
| author_sort | Seyyedeh Roodabeh Moosavi Noori |
| collection | DOAJ |
| description | In this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numerically and analytically. Simple approaches of reduced differential transform method and the convergence results for different classes of differential equations such as linear and nonlinear ordinary, partial, fractional, and system of differential equations are briefly discussed. Eight examples are checked to confirm convergence results as well as the strength and efficiency of the method. |
| format | Article |
| id | doaj-art-b3bc88af0d6a458cb9afbf359cd2f6f7 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b3bc88af0d6a458cb9afbf359cd2f6f72025-02-03T05:49:15ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/66964146696414Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential EquationsSeyyedeh Roodabeh Moosavi Noori0Nasir Taghizadeh1Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, IranDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, IranIn this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numerically and analytically. Simple approaches of reduced differential transform method and the convergence results for different classes of differential equations such as linear and nonlinear ordinary, partial, fractional, and system of differential equations are briefly discussed. Eight examples are checked to confirm convergence results as well as the strength and efficiency of the method.http://dx.doi.org/10.1155/2021/6696414 |
| spellingShingle | Seyyedeh Roodabeh Moosavi Noori Nasir Taghizadeh Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations International Journal of Differential Equations |
| title | Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations |
| title_full | Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations |
| title_fullStr | Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations |
| title_full_unstemmed | Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations |
| title_short | Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations |
| title_sort | study of convergence of reduced differential transform method for different classes of differential equations |
| url | http://dx.doi.org/10.1155/2021/6696414 |
| work_keys_str_mv | AT seyyedehroodabehmoosavinoori studyofconvergenceofreduceddifferentialtransformmethodfordifferentclassesofdifferentialequations AT nasirtaghizadeh studyofconvergenceofreduceddifferentialtransformmethodfordifferentclassesofdifferentialequations |