Convergence of the New Iterative Method
A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method i...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/989065 |
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| _version_ | 1832549253236391936 |
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| author | Sachin Bhalekar Varsha Daftardar-Gejji |
| author_facet | Sachin Bhalekar Varsha Daftardar-Gejji |
| author_sort | Sachin Bhalekar |
| collection | DOAJ |
| description | A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established. |
| format | Article |
| id | doaj-art-af1c32b9a08a4a519c3944370dcf07a7 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-af1c32b9a08a4a519c3944370dcf07a72025-02-03T06:11:44ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/989065989065Convergence of the New Iterative MethodSachin Bhalekar0Varsha Daftardar-Gejji1Department of Mathematics, Shivaji University, Kolhapur 416004, IndiaDepartment of Mathematics, University of Pune, Pune 411007, IndiaA new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established.http://dx.doi.org/10.1155/2011/989065 |
| spellingShingle | Sachin Bhalekar Varsha Daftardar-Gejji Convergence of the New Iterative Method International Journal of Differential Equations |
| title | Convergence of the New Iterative Method |
| title_full | Convergence of the New Iterative Method |
| title_fullStr | Convergence of the New Iterative Method |
| title_full_unstemmed | Convergence of the New Iterative Method |
| title_short | Convergence of the New Iterative Method |
| title_sort | convergence of the new iterative method |
| url | http://dx.doi.org/10.1155/2011/989065 |
| work_keys_str_mv | AT sachinbhalekar convergenceofthenewiterativemethod AT varshadaftardargejji convergenceofthenewiterativemethod |