scholarly journals Fractal-fractional model and numerical scheme based on Newton polynomial for Q fever disease under Atangana–Baleanu derivative

2022 ◽  
pp. 105189
Author(s):  
Joshua Kiddy K. Asamoah
Keyword(s):  
Numerical Scheme ◽  
Q Fever ◽  
Fractional Model ◽  
Newton Polynomial

FEATURES OF SEEPAGE OF A LIQUID TO A CHINK IN THE CRACKED DEFORMABLE LAYER

2010 ◽  
Vol 01 (03) ◽  
pp. 333-347 ◽  
Author(s):  
T. S. ALEROEV ◽  
H. T. ALEROEVA ◽  
JIANFEI HUANG ◽  
NINGMING NIE ◽  
YIFA TANG ◽  
...  
Keyword(s):  
Differential Equation ◽  
Initial Value Problem ◽  
Numerical Scheme ◽  
Variable Coefficients ◽  
Initial Value ◽  
Nonlinear Fractional Differential Equation ◽  
Fractional Model ◽  
New Model ◽  
Whole Process ◽  
Fractional Differential

We establish a new model for seepage of a liquid to a chink in the cracked deformable layer, an initial value problem of nonlinear fractional differential equation with variable coefficients, then design a numerical scheme of order 2 to solve this initial value problem. This new model theoretically explains the operating thickness H of a layer depending on the values of pressure gradient on the whole chink rather than on one point, which is practiced by a large amount of data. Compared with the Dontsov equation, our fractional model considers more aspects of the whole process. The earlier rejected results can also be considered in the display lines of the fractional model.

scholarly journals An efficient numerical scheme for fractional model of telegraph equation

2021 ◽  
Author(s):  
M.S. Hashmi ◽  
Urfa Aslam ◽  
Jagdev Singh ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Numerical Scheme ◽  
Telegraph Equation ◽  
Fractional Model

scholarly journals ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040044
Author(s):  
ABDON ATANGANA ◽  
SEDA İĞRET ARAZ
Keyword(s):  
Numerical Simulations ◽  
Exponential Decay ◽  
Power Law ◽  
Real World ◽  
Numerical Scheme ◽  
Integral Operators ◽  
Fractional Operators ◽  
Mathematical Concepts ◽  
Newton Polynomial ◽  
Real World Problems

In this paper, we present a new numerical scheme for a model involving new mathematical concepts that are of great importance for interpreting and examining real world problems. Firstly, we handle a Labyrinth chaotic problem with fractional operators which include exponential decay, power-law and Mittag-Leffler kernel. Moreover, this problem is solved via Atangana-Seda numerical scheme which is based on Newton polynomial. The accuracy and efficiency of the method can be easily seen with numerical simulations.

scholarly journals An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

2020 ◽  
Vol 59 (4) ◽  
pp. 2053-2064 ◽  
Author(s):  
Sunil Kumar ◽  
Ranbir Kumar ◽  
Jagdev Singh ◽  
K.S. Nisar ◽  
Devendra Kumar
Keyword(s):  
T Cells ◽  
Drug Therapy ◽  
Cd4 T Cells ◽  
Numerical Scheme ◽  
Antiviral Drug ◽  
Fractional Model ◽  
Hiv 1

scholarly journals A reliable numerical algorithm for a fractional model of Fitzhugh-Nagumo equation arising in the transmission of nerve impulses

2019 ◽  
Vol 8 (1) ◽  
pp. 719-727 ◽  
Author(s):  
Amit Prakash ◽  
Hardish Kaur
Keyword(s):  
Error Analysis ◽  
Laplace Transform ◽  
Perturbation Method ◽  
Numerical Algorithm ◽  
Numerical Scheme ◽  
Homotopy Perturbation Method ◽  
Fractional Model ◽  
Homotopy Perturbation ◽  
Nagumo Equation ◽  
Homotopy Polynomials

Abstract The key objective of this paper is to study the fractional model of Fitzhugh-Nagumo equation (FNE) with a reliable computationally effective numerical scheme, which is compilation of homotopy perturbation method with Laplace transform approach. Homotopy polynomials are employed to simplify the nonlinear terms. The convergence and error analysis of the proposed technique are presented. Numerical outcomes are shown graphically to prove the efficiency of proposed scheme.

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