<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the hybrid method (differential transform and finite difference methods) and the RDTM (reduced differential transform method) are implemented to solve Rosenau-Hyman equation. These methods give the desired accurate results in only a few terms and the approach procedure is rather simple and effective. An experiment is given to demonstrate the efficiency and reliability of these presented methods. The obtained numerical results are compared with each other and with exact solution. It seems that the results of the hybrid method and the RDTM show good performance as the other methods. The most important part of this study is that these methods are suitable to solve both some linear and nonlinear problems, and reduce the size of computation work.</p></abstract>

In this paper, the hybrid method (differential transform and finite difference methods) and the RDTM (reduced differential transform method) are implemented to solve Rosenau-Hyman equation. These methods give the desired accurate results in only a few terms and the approach procedure is rather simple and effective. An experiment is given to demonstrate the efficiency and reliability of these presented methods. The obtained numerical results are compared with each other and with exact solution. It seems that the results of the hybrid method and the RDTM show good performance as the other methods. The most important part of this study is that these methods are suitable to solve both some linear and nonlinear problems, and reduce the size of computation work.

The Comparison Study of Hybrid Method with RDTM for Solving Rosenau-Hyman Equation

Department of Mathematics, Faculty of Art and Science

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, the hybrid method (differential transform and finite difference methods) and the RDTM (reduced differential transform method) are implemented to...

The Comparison Study of Hybrid Method with RDTM for Solving Rosenau-Hyman Equation

Published Online: Mar 31, 2020

Page range: 267 - 274

Received: Mar 27, 2019

Accepted: Jun 16, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00024

Keywords
Rosenau-Hyman equation, hybrid method, RDTM, approximate solution

© 2020 Derya Arslan, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The Comparison Study of Hybrid Method with RDTM for Solving Rosenau-Hyman Equation

Published Online: Mar 31, 2020

Page range: 267 - 274

Received: Mar 27, 2019

Accepted: Jun 16, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00024

KeywordsRosenau-Hyman equation, hybrid method, RDTM, approximate solution

© 2020 Derya Arslan, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Rosenau-Hyman equation, hybrid method, RDTM, approximate solution