Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method
This research is a combination of the homotopy perturbation method with Elzaki transform method and Elzaki inverse to solve some nonlinear partial differential equations. Where the method Elzaki transform is not able to deal with nonlinear equations and find a solution by applying the hom...
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| Format: | Article |
| Language: | English |
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Mosul University
2024-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_183786_f47f04abe60e92475fad4e9aca63dd59.pdf |
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| _version_ | 1849696464409722880 |
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| author | Mohammed Alsofey Abdulghafor Al-Rozbayani |
| author_facet | Mohammed Alsofey Abdulghafor Al-Rozbayani |
| author_sort | Mohammed Alsofey |
| collection | DOAJ |
| description | This research is a combination of the homotopy perturbation method with Elzaki transform method and Elzaki inverse to solve some nonlinear partial differential equations. Where the method Elzaki transform is not able to deal with nonlinear equations and find a solution by applying the homotopy perturbation method to solve nonlinear differential equations problems. The method used has proven to be an effective and easy way to solve the nonlinear from kind Newell-Whitehead-Segel partial differential equations, which are classified and belong to the category of homogeneous partial differential equations of the second degree. The Elzaki transform method and Homotopy pertubation were shown to be very potent and successful integral transform methods for solving some non-linear equations when this method was compared to other well-known methods for handling the problems under consideration. |
| format | Article |
| id | doaj-art-624dce8f0c77476a8bde35e8217e50ed |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-624dce8f0c77476a8bde35e8217e50ed2025-08-20T03:19:28ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902024-06-011811610.33899/csmj.2024.140891.1073183786Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation MethodMohammed Alsofey0Abdulghafor Al-Rozbayani1College of Computer Sciences and Mathematics, University of Mosul, IraqDepartment of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqThis research is a combination of the homotopy perturbation method with Elzaki transform method and Elzaki inverse to solve some nonlinear partial differential equations. Where the method Elzaki transform is not able to deal with nonlinear equations and find a solution by applying the homotopy perturbation method to solve nonlinear differential equations problems. The method used has proven to be an effective and easy way to solve the nonlinear from kind Newell-Whitehead-Segel partial differential equations, which are classified and belong to the category of homogeneous partial differential equations of the second degree. The Elzaki transform method and Homotopy pertubation were shown to be very potent and successful integral transform methods for solving some non-linear equations when this method was compared to other well-known methods for handling the problems under consideration.https://csmj.mosuljournals.com/article_183786_f47f04abe60e92475fad4e9aca63dd59.pdfnewell-whitehead-segelelzaki transformelzaki inversehomotopy perturbation methodlinear and non-linear partial differential equations |
| spellingShingle | Mohammed Alsofey Abdulghafor Al-Rozbayani Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method Al-Rafidain Journal of Computer Sciences and Mathematics newell-whitehead-segel elzaki transform elzaki inverse homotopy perturbation method linear and non-linear partial differential equations |
| title | Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method |
| title_full | Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method |
| title_fullStr | Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method |
| title_full_unstemmed | Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method |
| title_short | Solving Newell-Whitehead-Segel Equation By using Elzaki Transform and its inverse with The Homotopy Perturbation Method |
| title_sort | solving newell whitehead segel equation by using elzaki transform and its inverse with the homotopy perturbation method |
| topic | newell-whitehead-segel elzaki transform elzaki inverse homotopy perturbation method linear and non-linear partial differential equations |
| url | https://csmj.mosuljournals.com/article_183786_f47f04abe60e92475fad4e9aca63dd59.pdf |
| work_keys_str_mv | AT mohammedalsofey solvingnewellwhiteheadsegelequationbyusingelzakitransformanditsinversewiththehomotopyperturbationmethod AT abdulghaforalrozbayani solvingnewellwhiteheadsegelequationbyusingelzakitransformanditsinversewiththehomotopyperturbationmethod |