Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method
The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented grap...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9998610 |
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| _version_ | 1832561477244944384 |
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| author | Dianchen Lu Muhammad Suleman Jamshaid Ul Rahman Samad Noeiaghdam Ghulam Murtaza |
| author_facet | Dianchen Lu Muhammad Suleman Jamshaid Ul Rahman Samad Noeiaghdam Ghulam Murtaza |
| author_sort | Dianchen Lu |
| collection | DOAJ |
| description | The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented graphically in the form of surface plot and absolute error is compared with the VIM and HPM to show that the method is more powerful than VIM and HPM and deduce that the offered numerical pattern is more efficient in simulating linear and nonlinear fractional order models. |
| format | Article |
| id | doaj-art-18f4c1e8ff1b4ede8538830cf5cfe01b |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-18f4c1e8ff1b4ede8538830cf5cfe01b2025-02-03T01:24:53ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99986109998610Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform MethodDianchen Lu0Muhammad Suleman1Jamshaid Ul Rahman2Samad Noeiaghdam3Ghulam Murtaza4Faculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaFaculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaFaculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaIndustrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, RussiaSchool of Science, Department of Mathematics, University of Management and Technology, 54000 Lahore, PakistanThe core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented graphically in the form of surface plot and absolute error is compared with the VIM and HPM to show that the method is more powerful than VIM and HPM and deduce that the offered numerical pattern is more efficient in simulating linear and nonlinear fractional order models.http://dx.doi.org/10.1155/2021/9998610 |
| spellingShingle | Dianchen Lu Muhammad Suleman Jamshaid Ul Rahman Samad Noeiaghdam Ghulam Murtaza Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method Complexity |
| title | Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method |
| title_full | Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method |
| title_fullStr | Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method |
| title_full_unstemmed | Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method |
| title_short | Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method |
| title_sort | numerical simulation of fractional zakharov kuznetsov equation for description of temporal discontinuity using projected differential transform method |
| url | http://dx.doi.org/10.1155/2021/9998610 |
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