A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
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Fractal fractional approach to investigate the forecasting and dynamics of malaria disease for early control precaution. [PDF]
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High performance adaptive step size fractional numerical scheme for solving fractional differential equations. [PDF]
Shams M, Alalyani A.
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Hardik S. Patel, Ramakanta Meher
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Applying Laplace Adomian decomposition method (LADM) for solving a model of Covid-19
Computer Methods in Biomechanics and Biomedical Engineering, 2021In this study, we apply the Laplace Adomian decomposition method (LADM) for the mathematical model of Covid-19. The mathematical model includes a system of nonlinear ordinary differential equations. Therefore, the model cannot be solved analytically but only by approximation.
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Abstract This paper applies Laplace–Adomian decomposition scheme to display numerical dispersive bright and dark optical solitons that are modeled by Radhakrishnan–Kundu–Lakshmanan equation. The computational results are achieved using MATHEMATICA. The maximum error for these plots is also displayed.
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INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD
Fractals, 2021We analytically investigate a nonlinear fractional-order sine-Gordon (sG) equation. The derivatives considered herein, are taken in Caputo’s sense. The Laplace transform together with the Adomian decomposition method (LADM) is applied to attain analytical approximation of the aforesaid equation.
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Analytical Approach to Fractional Fisher Equations by Laplace-Adomian Decomposition Method
Annals of Pure and Applied Mathematics, 2022This article implements the Laplace-Adomian decomposition method to obtain approximate analytical solutions in series form for non-linear time-fractional Fisher's equations with initial conditions. The fractional derivatives are given in the sense of Caputo. In addition, the results of this investigation are represented graphically, and they are simple
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Solution of the Nonlinear Kompaneets Equation Through the Laplace-Adomian Decomposition Method
International Journal of Applied and Computational Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Laplace-Adomian Decomposition method for solving Fuzzy Klein-Gordan equations
2022In this article, we have use Fuzzy Laplace-Adomian Decomposition method to evaluate the approximate solution of non linear and linear Time Fractional Klein-Gordan equations with suitable initial conditions in Fuzzy environment.
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