
Solving Riccati Type q−Difference Equations via Difference Transform Method
Author(s) -
Ayad R. Khudair,
Ahmed Y. Abdulmajeed
Publication year - 2021
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/qjps.2021.26.4.1318
Subject(s) - mathematics , type (biology) , riccati equation , constant (computer programming) , derivative (finance) , scale (ratio) , significant difference , mathematical analysis , differential equation , computer science , statistics , physics , quantum mechanics , ecology , financial economics , economics , biology , programming language
In this paper, we deal on the time scale that its delta derivative of graininess function is a nonzero positive constant. Based on the Taylor formula for this time scale, we investigate the difference transform method (DTM). This method has been applied successfully to solve Riccati type difference equations in quantum calculus. To demonstrate the ability and efficacy of this method, some examples have been provided.