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Title: :  A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM
PaperId: :  12776
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 4 Issue 1 2018
DUI:    16.0415/IJARIIE-12776
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
KiranOPJS University
Dr. Satendra KumarOPJS University

Abstract

Mathematics
Natural transform, Sumudu transform, Laplace transform, Adomian decomposition method, ordinary differential equations.
In this research paper, we examine a novel method called the Natural Decomposition Method (NDM). We use the NDM to obtain exact solutions for three different types of nonlinear ordinary differential equations (NLODEs). The NDM is based on the Natural transform method (NTM) and the Adomian decomposition method (ADM). By using the new method, we successfully handle some class of nonlinear ordinary differential equations in a simple and elegant way. The proposed method gives exact solutions in the form of a rapid convergence series. Hence, the Natural Decomposition Method (NDM) is an excellent mathematical tool for solving linear and nonlinear differential equation. One can conclude that the NDM is efficient and easy to use.

Citations

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IJARIIE Kiran, and Dr. Satendra Kumar. "A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM" International Journal Of Advance Research And Innovative Ideas In Education Volume 4 Issue 1 2018 Page 1057-1064
MLA Kiran, and Dr. Satendra Kumar. "A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM." International Journal Of Advance Research And Innovative Ideas In Education 4.1(2018) : 1057-1064.
APA Kiran, & Dr. Satendra Kumar. (2018). A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM. International Journal Of Advance Research And Innovative Ideas In Education, 4(1), 1057-1064.
Chicago Kiran, and Dr. Satendra Kumar. "A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM." International Journal Of Advance Research And Innovative Ideas In Education 4, no. 1 (2018) : 1057-1064.
Oxford Kiran, and Dr. Satendra Kumar. 'A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM', International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, 2018, p. 1057-1064. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/A_STUDY_OF_NONLINEAR_ORDER_DIFFERENTIAL_EQUATION_USING_NDM_ijariie12776.pdf (Accessed : 27 September 2020).
Harvard Kiran, and Dr. Satendra Kumar. (2018) 'A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM', International Journal Of Advance Research And Innovative Ideas In Education, 4(1), pp. 1057-1064IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/A_STUDY_OF_NONLINEAR_ORDER_DIFFERENTIAL_EQUATION_USING_NDM_ijariie12776.pdf (Accessed : 27 September 2020)
IEEE Kiran, and Dr. Satendra Kumar, "A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM," International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, pp. 1057-1064, Jan-Feb 2018. [Online]. Available: http://ijariie.com/AdminUploadPdf/A_STUDY_OF_NONLINEAR_ORDER_DIFFERENTIAL_EQUATION_USING_NDM_ijariie12776.pdf [Accessed : 27 September 2020].
Turabian Kiran, and Dr. Satendra Kumar. "A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 4 number 1 (27 September 2020).
Vancouver Kiran, and Dr. Satendra Kumar. A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2018 [Cited : 27 September 2020]; 4(1) : 1057-1064. Available from: http://ijariie.com/AdminUploadPdf/A_STUDY_OF_NONLINEAR_ORDER_DIFFERENTIAL_EQUATION_USING_NDM_ijariie12776.pdf
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