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A new general polynomial transforms for solving ordinary differential equations with variable coefficients | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 2189-2196 اصل مقاله (322.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.6090 | ||
| نویسندگان | ||
| Emad A. Kuffi* 1؛ Sara Falih Maktoof2 | ||
| 1Department of Materials Engineering, College of Engineering, Al-Qadisiyah University, Iraq | ||
| 2Department of Mathematics, Faculty for Girls, University of Kufa, Iraq | ||
| تاریخ دریافت: 11 مهر 1400، تاریخ بازنگری: 08 آبان 1400، تاریخ پذیرش: 10 آذر 1400 | ||
| چکیده | ||
| In this paper, we introduce the definition of a new general integral transform which call it "A new general polynomial transform ". Also, we introduce properties, theorems, proofs and transforms of the Logarithmic functions, polynomials functions and other functions. As well as, we discuss how we can apply this integral transform and its inverse to solve the ordinary differential equations with variable coefficients. | ||
| کلیدواژه‌ها | ||
| Integral transforms؛ Inverse integral transforms؛ Polynomial transform؛ Inverse polynomial transform | ||
| مراجع | ||
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[1] K.S. Aboodh, The new integral transform , ”Aboodh transform”, Glob. Pure Appl. Math. 9(1) (2013). [2] B. Barnes, Polynomail integral transform for solving differential equations, Eur. J. Pure Appl. Math. 9(2) (2016) 140–151. [3] M. Braun, Differential Equation and Their Application, 4th Ed., New York, Spring-Verlag, 1993. [4] Z.H. Khan and W.A. Khan, Natural transform-properties and applications, Nust J. Eng. Sci. 1 (2008). [5] E.A. Mansour, S.A. Mehdi and E.A. Kuffi, The new integral transform and its applications, Int. J. Nonlinear Anal. Appl. 12(2) (2021) 849–856. [6] A.H. Mohmmed and A.N. Kathem, Solving Euler’s equation by using new transformation, J. Kerbala Univ. 6(4) (2008) 103–109. [7] G.K. Watugula, Sumudu transform: a new integral transform to solve differential equations and control engineering problems, Int. J. Math. Edn. Sci. Techol. 24(1) (1993) 35–43. [8] T.M. Zaki, The new integral transform, ”Elzaki transform”, Glob. J. Pure . Appl. Math. 7(1) (2011) 57–64 | ||
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