Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method

Joint Authors

Gizaw, Ademe Kebede
Mussa, Yesuf Obsie
Belayeh, Wayinhareg Gashaw

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-15

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions.

The proposed technique has the advantage of producing an analytical approximation in a convergent power series form with a reduced number of calculable terms.

Two test examples from mathematical physics are discussed to illustrate the validity and efficiency of the method.

In addition, numerical solutions of the test examples are presented graphically to show the reliability and accuracy of the method.

Also, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.

American Psychological Association (APA)

Belayeh, Wayinhareg Gashaw& Mussa, Yesuf Obsie& Gizaw, Ademe Kebede. 2020. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1196216

Modern Language Association (MLA)

Belayeh, Wayinhareg Gashaw…[et al.]. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1196216

American Medical Association (AMA)

Belayeh, Wayinhareg Gashaw& Mussa, Yesuf Obsie& Gizaw, Ademe Kebede. Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1196216

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1196216