A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM

Kiran; Dr. Satendra Kumar

A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM

September 2020

Vol-4, Issue-1

Paper ID: 12776

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Mathematics

Keywords

Natural transform Sumudu transform Laplace transform Adomian decomposition method ordinary differential equations.

Abstract

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.

License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author Information

#	Name	Institute / Affiliation
1	Kiran	OPJS University
2	Dr. Satendra Kumar	OPJS University

How to Cite

Use the following formats to cite this article in your research.

APA Style

Kiran & Kumar, Dr. Satendra (2020). A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM. International Journal of Advance Research and Innovative Ideas In Education, 4(1), 1057-1064.

MLA Style

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, 2020, pp. 1057-1064.

IEEE Style

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, 2020.

Vancouver Style

Kiran, Kumar Dr. Satendra. A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM. International Journal of Advance Research and Innovative Ideas In Education. 2020;4(1):1057-1064.

Harvard Style

Kiran & Kumar, Dr. Satendra (2020) 'A STUDY OF NONLINEAR ORDER DIFFERENTIAL EQUATION USING NDM', International Journal of Advance Research and Innovative Ideas In Education, 4(1), pp. 1057-1064.

Chicago Style

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 (2020): 1057-1064.

Turabian Style

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 (2020): 1057-1064.