Application of Adomian decomposition method to solve the fractional mathematical model of corona virus

Kulkarni, Sharvari; Takale, Kalyanrao; Shaikh, Amjad

doi:10.28919/jmcs/4624

Cited by 2 publications

(1 citation statement)

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“…(1,2) . Since many fractional order non-linear differential equations are not easy to solve, hence we prefer numerical methods like finite difference method (3) , Adomian Decomposition Method (4)(5)(6) and Homotopy Perturbation Method (7) which gives approximate solutions.…”

Section: Introductionmentioning

confidence: 99%

Comparative Study of Solutions of Fractional Order Mixed KdV Burger’s Equation

Pawar,

Takale,

Gaikwad

2024

IJST

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Objective: The aim of this study is to obtain numerical solutions of fractional order mixed KdV Burger’s equation using iterative methods. Methodology: The study is centered on a time fractional mixed KdV Burger’s equation in the Caputo sense. The approximate solutions of this equation are obtained using Adomian decomposition method and Homotopy Perturbation method. Also, a Python code is developed to obtained numerical solutions and simulate graphically. Finding: The obtained solutions are compared with the exact solution and presented graphically using Python program for better analysis. Novelty: These methods shall be used to obtain approximate solution of such type of non-linear fractional order differential equations. Keywords: Fractional Differential Equation, Caputo Derivative, ADM, HPM, KdV Burger equation, Python

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Section: Introductionmentioning

confidence: 99%

Comparative Study of Solutions of Fractional Order Mixed KdV Burger’s Equation

Pawar,

Takale,

Gaikwad

2024

IJST

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New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

et al. 2020

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This research paper investigates the computational solutions of the resonant Schr?dinger?s equation. The modified Khater method and Adomian decomposition method are applyied for construct new analytical traveling and semi-analytical wave solutions. This model describes the pulse phenomena and studied in non-linear optics. For further illustration of our obtained solutions, some distinct types of sketches are given.

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Application of Adomian decomposition method to solve the fractional mathematical model of corona virus

Cited by 2 publications

References 0 publications

Comparative Study of Solutions of Fractional Order Mixed KdV Burger’s Equation

Comparative Study of Solutions of Fractional Order Mixed KdV Burger’s Equation

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

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