Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method

Alhassan, Amal Khalaf; Zaboon, Radhi Ali; Alhily, Shatha S.

doi:10.37652/juaps.2023.144285.1156

	Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method
Journal of University of Anbar for Pure Science
Volume 18, Issue 1, June 2024, Pages 257-262 PDF (579.25 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2023.144285.1156
Authors
Amal Khalaf Alhassan^* ¹; Radhi Ali Zaboon²; Shatha S. Alhily²
¹Department of Mathematics, Faculty of Education for Girls, Kufa University, Najaf , Iraq;
²Department of Mathematics, College of Science, Mustansiriyah University, Baghdad , Iraq;
Abstract
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.
Keywords
complex differential equations,,; ,،two dimensional differntial transform,,; ,،partial differential equations
Supplementary Files (29),( 1 ),( 18 ) ,( 2024 ).pdf
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