Document Type : Research Paper

Authors

• Mayadah Khalil Ghaffar ^{1, 2}
• Fadhel S Fadhel ³
• Nabeel E. Arif ⁴

¹ Department of Physics, College of Science, Tikrit University, Tikrit, Iraq

² Department of Mathematics, College of Computer Science and Mathematics, Mosul University, Iraq

³ Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, Iraq

⁴ Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, 34001, Tikrit, Iraq

Abstract

This study presents the differential transform method and its modification proposes a combination of the differential transform method, Tarig transformation and the Pade approximation. This combination may be used as a beneficial strategy to expand the domain of convergence of the approximation solutions. Moreover, the modified differential transform method will be used to solve linear and nonlinear delay differential equations, and this technique will be applied to models of delayed vector-borne diseases and delayed protein degradation.

Keywords

• Delay differential equations differential transform method
• Modified differential transform method
• Tarig transformation
• The Pade approximation
• TPDTM
• Vector-Borne Diseases