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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Anbar
2024-06-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
| Subjects: | |
| Online Access: | https://juaps.uoanbar.edu.iq/article_183336_46905233a010d3a20ef2810c5bdb477e.pdf |
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| Summary: | 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. |
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| ISSN: | 1991-8941 2706-6703 |