In this article a combination of integral transform method (Ramadan group transform) and projected differential transform is considered to solve partial differential equations. The method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work. The fact that the suggested hybrid method solves such nonlinear partial differential equations without using He’s polynomials or Adomian’s polynomials is a clear advantage over these decomposition methods. Numerical examples are performed by this hybrid method are presented. The results reveal that the suggested method is simple and effective.
Published in | American Journal of Mathematical and Computer Modelling (Volume 2, Issue 2) |
DOI | 10.11648/j.ajmcm.20170202.11 |
Page(s) | 39-47 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Integral Transform Method, Projected Differential Transform Method, He Polynomials, Adomian Polynomials, Partial Differential Equations
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APA Style
Mohamed A. Ramadan, Adel R. Hadhoud. (2017). Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations. American Journal of Mathematical and Computer Modelling, 2(2), 39-47. https://doi.org/10.11648/j.ajmcm.20170202.11
ACS Style
Mohamed A. Ramadan; Adel R. Hadhoud. Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations. Am. J. Math. Comput. Model. 2017, 2(2), 39-47. doi: 10.11648/j.ajmcm.20170202.11
@article{10.11648/j.ajmcm.20170202.11, author = {Mohamed A. Ramadan and Adel R. Hadhoud}, title = {Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations}, journal = {American Journal of Mathematical and Computer Modelling}, volume = {2}, number = {2}, pages = {39-47}, doi = {10.11648/j.ajmcm.20170202.11}, url = {https://doi.org/10.11648/j.ajmcm.20170202.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmcm.20170202.11}, abstract = {In this article a combination of integral transform method (Ramadan group transform) and projected differential transform is considered to solve partial differential equations. The method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work. The fact that the suggested hybrid method solves such nonlinear partial differential equations without using He’s polynomials or Adomian’s polynomials is a clear advantage over these decomposition methods. Numerical examples are performed by this hybrid method are presented. The results reveal that the suggested method is simple and effective.}, year = {2017} }
TY - JOUR T1 - Ramadan Group (RG) Transform Coupled with Projected Differential Transform for Solving Nonlinear Partial Differential Equations AU - Mohamed A. Ramadan AU - Adel R. Hadhoud Y1 - 2017/02/21 PY - 2017 N1 - https://doi.org/10.11648/j.ajmcm.20170202.11 DO - 10.11648/j.ajmcm.20170202.11 T2 - American Journal of Mathematical and Computer Modelling JF - American Journal of Mathematical and Computer Modelling JO - American Journal of Mathematical and Computer Modelling SP - 39 EP - 47 PB - Science Publishing Group SN - 2578-8280 UR - https://doi.org/10.11648/j.ajmcm.20170202.11 AB - In this article a combination of integral transform method (Ramadan group transform) and projected differential transform is considered to solve partial differential equations. The method can easily be applied to many nonlinear problems and is capable of reducing the size of computational work. The fact that the suggested hybrid method solves such nonlinear partial differential equations without using He’s polynomials or Adomian’s polynomials is a clear advantage over these decomposition methods. Numerical examples are performed by this hybrid method are presented. The results reveal that the suggested method is simple and effective. VL - 2 IS - 2 ER -