Applied Mathematics

Volume 6, Issue 3 (March 2015)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation

HTML  XML Download Download as PDF (Size: 716KB)  PP. 617-628  
DOI: 10.4236/am.2015.63056    5,355 Downloads   6,962 Views  Citations

ABSTRACT

This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. The convergence of the HPSTM solutions to the exact solutions is shown. As a novel application of homotopy perturbation sumudu transform method, the presented work showed some essential difference with existing similar application four classical examples also highlighted the significance of this work.

Share and Cite:

Mahdy, A. , Mohamed, A. and Mtawa, A. (2015) Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation. Applied Mathematics, 6, 617-628. doi: 10.4236/am.2015.63056.

Cited by

[1] Use of optimal control in studying the dynamical behaviors of fractional financial awareness models
Bary - Soft Computing, 2022
[2] A Hybrid Method to Solve Time-Space Fractional PDEs with Proportional Delay
International Journal of Applied and Computational …, 2022
[3] Quadruple Shehu Transform and its Applications
arXiv preprint arXiv …, 2022
[4] Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation …
… Research Journal of …, 2022
[5] Approximate Solution for Solving Fractional order Lotka-Volterra Equation
المجلة الليبية العالمية, 2021
[6] Numerical solution technique for solving isoperimetric variational problems
2021
[7] Optimal and Memristor-Based Control of A Nonlinear Fractional Tumor-Immune Model
2021
[8] Triple Shehu transform and its properties with applications
2021
[9] Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method
2021
[10] Use of Optimal Control in Studying the Dynamical Behaviors of Fractional Financial Awareness Model
2021
[11] An Efficient Perturbation Sumudu Transform Technique for the Time-Fractional Vibration Equation with a Memory Dependent Fractional Derivative in Liouville–Caputo …
2021
[12] A new modified homotopy perturbation method for fractional partial differential equations with proportional delay
2020
[13] Optimal control and bifurcation diagram for a model nonlinear fractional sirc
2020
[14] Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model
2020
[15] A reliable hybrid numerical method for a time dependent vibration model of arbitrary order
2020
[16] Approximate solution for solving nonlinear fractional order smoking model
2020
[17] Solutions of Burgers-Lokshin Equation with its Properties
2019
[18] Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
2019
[19] Sumudu transform of Dixon elliptic functions with non-zero modulus as Quasi C fractions and its Hankel determinants
2018
[20] Applications of new integral transform for linear and nonlinear fractional partial differential equations
2018
[21] Further distinctive investigations of the Sumudu transform
AIP Conference Proceedings, 2017
[22] On the fractional Harry Dym equation
Computational and Applied Mathematics, 2017
[23] Quasi associated continued fractions and Hankel determinants of Dixon elliptic functions via Sumudu transform
2017
[24] Sumudu transform and trigonometric functions
Journal of Computational and Applied Mathematics, 2016
[25] Variational homotopy perturbation method for solving the generalized time-space fractional Schrdinger equation
International Journal of Physical Sciences, 2015
[26] Sumudu decomposition method for solving fractional-order Logistic differential equation
2015

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.