Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method
Complex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs. The complexity of some real-world problems has been con...
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University of Anbar
2024-06-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
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| Online Access: | https://juaps.uoanbar.edu.iq/article_183336_46905233a010d3a20ef2810c5bdb477e.pdf |
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| _version_ | 1850194832148922368 |
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| author | Amal Alhassan Radhi Ali Zaboon Shatha Alhily |
| author_facet | Amal Alhassan Radhi Ali Zaboon Shatha Alhily |
| author_sort | Amal Alhassan |
| collection | DOAJ |
| description | Complex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs. The complexity of some real-world problems has been conquered via the methods of solution for CDEs . Two-dimensional differential transform was proposed in 1999 by Chen and Ho as a powerful tool for solving PDEs and . Many researchers used two dimensional differential transform method for solving linear complex partial derivative equations such as to solve linear CPDEs and for nonlinear CPDEs . This paper presents two-dimensional differential transform for the complex partial derivatives of higher orders for a complex functions of two complex independent variables, and then use these complex partial derivatives to find an exact solution to a complex partial differential equation of the fourth order using two-dimensional differential transform method. |
| format | Article |
| id | doaj-art-10c9d5fdba1b4ed1a8a12a2f6c8ba32a |
| institution | OA Journals |
| issn | 1991-8941 2706-6703 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | University of Anbar |
| record_format | Article |
| series | مجلة جامعة الانبار للعلوم الصرفة |
| spelling | doaj-art-10c9d5fdba1b4ed1a8a12a2f6c8ba32a2025-08-20T02:13:55ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032024-06-0118125726210.37652/juaps.2023.144285.1156183336Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform MethodAmal Alhassan0Radhi Ali Zaboon1Shatha Alhily2Department of Mathematics, Faculty of Education for Girls, Kufa University, Najaf , Iraq;Department of Mathematics, College of Science, Mustansiriyah University, Baghdad , Iraq;Department of Mathematics, College of Science, Mustansiriyah University, Baghdad , Iraq;Complex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs. The complexity of some real-world problems has been conquered via the methods of solution for CDEs . Two-dimensional differential transform was proposed in 1999 by Chen and Ho as a powerful tool for solving PDEs and . Many researchers used two dimensional differential transform method for solving linear complex partial derivative equations such as to solve linear CPDEs and for nonlinear CPDEs . This paper presents two-dimensional differential transform for the complex partial derivatives of higher orders for a complex functions of two complex independent variables, and then use these complex partial derivatives to find an exact solution to a complex partial differential equation of the fourth order using two-dimensional differential transform method.https://juaps.uoanbar.edu.iq/article_183336_46905233a010d3a20ef2810c5bdb477e.pdfcomplex differential equations,,,،two dimensional differntial transform,,,،partial differential equations |
| spellingShingle | Amal Alhassan Radhi Ali Zaboon Shatha Alhily Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method مجلة جامعة الانبار للعلوم الصرفة complex differential equations,, ,،two dimensional differntial transform,, ,،partial differential equations |
| title | Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method |
| title_full | Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method |
| title_fullStr | Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method |
| title_full_unstemmed | Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method |
| title_short | Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method |
| title_sort | solving higher orders linear complex partial differential equations via two dimensional differential transform method |
| topic | complex differential equations,, ,،two dimensional differntial transform,, ,،partial differential equations |
| url | https://juaps.uoanbar.edu.iq/article_183336_46905233a010d3a20ef2810c5bdb477e.pdf |
| work_keys_str_mv | AT amalalhassan solvinghigherorderslinearcomplexpartialdifferentialequationsviatwodimensionaldifferentialtransformmethod AT radhializaboon solvinghigherorderslinearcomplexpartialdifferentialequationsviatwodimensionaldifferentialtransformmethod AT shathaalhily solvinghigherorderslinearcomplexpartialdifferentialequationsviatwodimensionaldifferentialtransformmethod |