Extended Fractional Reduced Differential Transform for Solving Fractional Partial Differential Equations with Proportional Delay
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0374-9
Abstract: This paper proposed an $$(n+1)$$(n+1)-dimensional extended reduced differential transform for solving the initial value autonomous system of time fractional partial differential equations (TFPDEs) with proportional delay. Specially, we concerned with the numerical computation of an… read more here.
Keywords: fractional partial; transform solving; delay; reduced differential ... See more keywords
A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach
Sign Up to like & getrecommendations! Published in 2021 at "Heliyon"
DOI: 10.1016/j.heliyon.2021.e07001
Abstract: In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have… read more here.
Keywords: fisher equation; burgers fisher; solution; differential transform ... See more keywords
A new algorithm for computing the differential transform in nonlinear two-dimensional partial differential equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2019.04.004
Abstract: Abstract In this work, a new algorithm is proposed for computing the differential transform of two-dimensional nonlinear functions. This algorithm overcomes the drawbacks of previous algorithms as it is straightforward for any form of analytic… read more here.
Keywords: two dimensional; new algorithm; differential transform; computing differential ... See more keywords
A General Scheme for Solving Systems of Linear First-Order Differential Equations Based on the Differential Transform Method
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DOI: 10.1155/2021/8839201
Abstract: In this study, we develop the differential transform method in a new scheme to solve systems of first-order differential equations. The differential transform method is a procedure to obtain the coefficients of the Taylor series… read more here.
Keywords: transform method; differential transform; first order;
The reduced differential transform and variational iteration methods for 3D diffusion model in fractal heat transfer within local fractional operators
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DOI: 10.2298/tsci170707033j
Abstract: Hossein JAFARI *, Hassan Kamil JASSIM , and Javad VAHIDI a,d a Department of Mathematical Sciences, University of South Africa, Pretoria, South Africa b Department of Mathematics, University of Mazandaran, Babolsar, Iran c Department of… read more here.
Keywords: mathematics; department mathematics; university; department ... See more keywords
Solving time-fractional chemical engineering equations by generalized differential transform method
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DOI: 10.2298/tsci20s1157h
Abstract: In this paper fractional differential transform method is implemented for modelling and solving system of the time fractional chemical engineering equations. In this method the solution of the chemical reaction, reactor, and concentration equations are… read more here.
Keywords: time fractional; chemical engineering; chemical; fractional chemical ... See more keywords
Differential Transform Method for Axisymmetric Vibration Analysis of Circular Sandwich Plates with Viscoelastic Core
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DOI: 10.3390/sym14050852
Abstract: The purpose of this paper is to study the axisymmetric vibrations of circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, the equations of motion and related boundary conditions… read more here.
Keywords: viscoelastic core; sandwich plates; core; differential transform ... See more keywords