Analysis of HIV Model by KTADM

This manuscript presents a procedure in the direction of get the emulsion of dynamic pattern in place of HIV infection of CD4+T cells. Intended for methodical mix of non linear differential equation, we are by Kamal Transform Adomian Decomposition Method (KTADM). This procedure gives consistent as a consequence effectual suspension of HIV model.

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Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells

Discrete Dynamics in Nature and Society ◽

10.1155/2015/584787 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

Fang Chen ◽

Qing-Quan Liu

Keyword(s):

T Cells ◽

Approximate Solution ◽

Hiv Infection ◽

Laplace Transform ◽

Numerical Experiments ◽

Decomposition Method ◽

Padé Approximation ◽

Adomian Decomposition Method ◽

Pade Approximation ◽

Adomian Decomposition

The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in a more efficient way. We also use Padé approximation and Laplace transform as a posttreatment technique to obtain the result of the ADM. The advantage of the posttreatment is illustrated by numerical experiments.

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Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method

Discrete Dynamics in Nature and Society ◽

10.1155/2012/976352 ◽

2012 ◽

Vol 2012 ◽

pp. 1-11 ◽

Cited By ~ 8

Author(s):

Nurettin Doğan

Keyword(s):

T Cells ◽

Hiv Infection ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Approximate Solutions ◽

Computer Code ◽

Runge Kutta Method ◽

Adomian Decomposition ◽

Comparison Of The Results ◽

Very High

A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method (MLADM) has been proposed for solving the model for HIV infection of CD4+T cells. The proposed method is modification of the classical Laplace Adomian Decomposition Method (LADM) with multistep approach. Fourth-order Runge-Kutta method (RK4) is used to evaluate the effectiveness of the proposed algorithm. When we do not know the exact solution of a given problem, generally we use the RK4 method for comparison since it is widely used and accepted. Comparison of the results with RK4 method is confirmed that MLADM performs with very high accuracy. Results show that MLADM is a very promising method for obtaining approximate solutions to the model for HIV infection of CD4+T cells. Some plots and tables are presented to show the reliability and simplicity of the methods. All computations have been made with the aid of a computer code written in Mathematica 7.

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Approximate Method for Solving the Linear Fuzzy Delay Differential Equations

Discrete Dynamics in Nature and Society ◽

10.1155/2015/273830 ◽

2015 ◽

Vol 2015 ◽

pp. 1-9 ◽

Cited By ~ 3

Author(s):

S. Narayanamoorthy ◽

T. L. Yookesh

Keyword(s):

Differential Equation ◽

Exact Solution ◽

Approximate Solution ◽

Differential Equations ◽

Approximate Method ◽

Delay Differential Equations ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Adomian Decomposition ◽

Delay Differential

We propose an algorithm of the approximate method to solve linear fuzzy delay differential equations using Adomian decomposition method. The detailed algorithm of the approach is provided. The approximate solution is compared with the exact solution to confirm the validity and efficiency of the method to handle linear fuzzy delay differential equation. To show this proper features of this proposed method, numerical example is illustrated.

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Approximate solution of nonlinear ordinary differential equation using ZZ decomposition method

Open Journal of Mathematical Sciences ◽

10.30538/oms2020.0134 ◽

2020 ◽

Vol 4 (1) ◽

pp. 448-455

Author(s):

Mulugeta Andualem ◽

◽

Atinafu Asfaw ◽

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Approximate Solution ◽

Initial Value Problems ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Nonlinear Ordinary Differential Equation ◽

Initial Value ◽

Transform Method ◽

Adomian Decomposition

Nonlinear initial value problems are somewhat difficult to solve analytically as well as numerically related to linear initial value problems as their variety of natures. Because of this, so many scientists still searching for new methods to solve such nonlinear initial value problems. However there are many methods to solve it. In this article we have discussed about the approximate solution of nonlinear first order ordinary differential equation using ZZ decomposition method. This method is a combination of the natural transform method and Adomian decomposition method.

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