TRANSFORM

作品数:1369被引量:2243H指数:16
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The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation
《Applied Mathematics》2023年第3期230-243,共14页Mohamed Elbadri 
In this paper, a coupling of the natural transform method and the Admoian decomposition method called the natural transform decomposition method (NTDM), is utilized to solve the linear and nonlinear time-fractional Kl...
关键词:Natural Transform Adomian Decomposition Method Fractional Klein-Gordon Equation 
The Riccati Equation, Differential Transform, Rational Solutions and Applications
《Applied Mathematics》2022年第9期774-792,共19页Malick Ndiaye 
In this article, the Riccati Equation is considered. Various techniques of finding analytical solutions are explored. Those techniques consist mainly of making a change of variable or the use of Differential Transform...
关键词:Riccati Equation Differential Transform Rational Solutions 
Generalized Fourier Transform Method for Solving Nonlinear Anomalous Diffusion Equations
《Applied Mathematics》2019年第12期1039-1047,共9页Jie Yao Cameron L. Williams Fazle Hussain Donald J. Kouri 
The solution of a nonlinear diffusion equation is numerically investigated using the generalized Fourier transform method. This equation includes fractal dimensions and power-law dependence on the radial variable and ...
关键词:Generalized FOURIER TRANSFORM ANOMALOUS DIFFUSION NONLINEAR 
A Tutorial to Approximately Invert the Sumudu Transform
《Applied Mathematics》2019年第11期1004-1028,共25页Glen Atlas John K.-J. Li Adam Work 
Unlike the traditional Laplace transform, the Sumudu transform of a function, when approximated as a power series, may be readily inverted using factorial-based coefficient diminution. This technique offers straightfo...
关键词:Sumudu TRANSFORM Double Series DISCRETE CONVOLUTION CAUCHY PRODUCT 
Analytical Algorithm for Systems of Neutral Delay Differential Equations
《Applied Mathematics》2019年第9期753-768,共16页Aminu Barde Normah Maan 
Delay differential equations (DDEs), as well as neutral delay differential equations (NDDEs), are often used as a fundamental tool to model problems arising from various areas of sciences and engineering. However, NDD...
关键词:HOMOTOPY Analysis Method Natural TRANSFORM He’s POLYNOMIAL and NEUTRAL Delay Differential EQUATIONS 
Interaction of Nonstationary Waves on Cylindrical Body
《Applied Mathematics》2019年第6期435-447,共13页Safarov Ismoil Ibrohimovich Kulmuratov Nurillo Rakhimovich Teshayev Muhsin Khudoyberdiyevich Kuldashov Nasriddin Urinovich 
In this paper, the case of the interaction of a flat compression pulse with a layered cylindrical body in an infinite homogeneous and isotropic elastic medium is studied. The problem by the methods of integral Fourier...
关键词:Compression IMPULSES FOURIER TRANSFORM Romberg Method Heaviside Function REFLECTIONS DIFFRACTION 
Integer Wavelet-Based Image Interpolation in Lifting Structure for Image Resolution Enhancement
《Applied Mathematics》2018年第10期1156-1178,共23页Chin-Yu Chen Shu-Mei Guo Ching-Hsuan Tsai Jason Sheng-Hong Tsai 
A floating-point wavelet-based and an integer wavelet-based image interpolations in lifting structures and polynomial curve fitting for image resolution enhancement are proposed in this paper. The proposed prediction ...
关键词:IMAGE Compression IMAGE Interpolation WAVELET TRANSFORM INTEGER WAVELET TRANSFORM POLYNOMIAL Curve Fitting 
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
《Applied Mathematics》2018年第2期130-137,共8页Mohamed Elbadri 
In this paper, comparison of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the solution ...
关键词:HOMOTOPY PERTURBATION Method (HPM) LAPLACE TRANSFORM 
The Principal Component Transform of Parametrized Functions
《Applied Mathematics》2017年第4期453-475,共23页Ilia Zabrodskii Arcady Ponosov 
Many advanced mathematical models of biochemical, biophysical and other processes in systems biology can be described by parametrized systems of nonlinear differential equations. Due to complexity of the models, a pro...
关键词:Principal COMPONENT Analysis DISCRETIZATION of FUNCTIONS METAMODELING LATENT Parameters 
The Role of High Precision Arithmetic in Calculating Numerical Laplace and Inverse Laplace Transforms
《Applied Mathematics》2017年第4期562-589,共28页Zinovi Krougly Matt Davison Sid Aiyar 
In order to find stable, accurate, and computationally efficient methods for performing the inverse Laplace transform, a new double transformation approach is proposed. To validate and improve the inversion solution o...
关键词:NUMERICAL LAPLACE TRANSFORM NUMERICAL LAPLACE TRANSFORM INVERSION Composite Simpson’s Rule Gaver-Stehfest Algorithm High Precision Computation 
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