Numerical approximation for HIV infection of CD4+ T cells mathematical model

Vineet K. Srivastava; Mukesh K. Awasthi; Sunil Kumar

doi:10.1016/j.asej.2013.12.012

Numerical approximation for HIV infection of CD4+ T cells mathematical model

Vineet K. Srivastava
, Mukesh K. Awasthi
, Sunil Kumar

ISRO Telemetry Tracking and Command Network
University of Petroleum and Energy Studies
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

A dynamical model of HIV infection of CD4+ T cells is solved numerically using an approximate analytical method so-called the differential transform method (DTM). The solution obtained by the method is an infinite power series for appropriate initial condition, without any discretization, transformation, perturbation, or restrictive conditions. A comparative study between the present method, the classical Euler's and Runge-Kutta fourth order (RK4) methods is also carried out.

Original language	English
Pages (from-to)	625-629
Number of pages	5
Journal	Ain Shams Engineering Journal
Volume	5
Issue number	2
DOIs	https://doi.org/10.1016/j.asej.2013.12.012
State	Published - Jun 2014
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

DTM
Euler's method
Numerical simulation
RK4

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10.1016/j.asej.2013.12.012

Cite this

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title = "Numerical approximation for HIV infection of CD4+ T cells mathematical model",

abstract = "A dynamical model of HIV infection of CD4+ T cells is solved numerically using an approximate analytical method so-called the differential transform method (DTM). The solution obtained by the method is an infinite power series for appropriate initial condition, without any discretization, transformation, perturbation, or restrictive conditions. A comparative study between the present method, the classical Euler's and Runge-Kutta fourth order (RK4) methods is also carried out.",

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AU - Srivastava, Vineet K.

AU - Awasthi, Mukesh K.

AU - Kumar, Sunil

PY - 2014/6

Y1 - 2014/6

N2 - A dynamical model of HIV infection of CD4+ T cells is solved numerically using an approximate analytical method so-called the differential transform method (DTM). The solution obtained by the method is an infinite power series for appropriate initial condition, without any discretization, transformation, perturbation, or restrictive conditions. A comparative study between the present method, the classical Euler's and Runge-Kutta fourth order (RK4) methods is also carried out.

AB - A dynamical model of HIV infection of CD4+ T cells is solved numerically using an approximate analytical method so-called the differential transform method (DTM). The solution obtained by the method is an infinite power series for appropriate initial condition, without any discretization, transformation, perturbation, or restrictive conditions. A comparative study between the present method, the classical Euler's and Runge-Kutta fourth order (RK4) methods is also carried out.

KW - DTM

KW - Euler's method

KW - Numerical simulation

KW - RK4

UR - https://www.scopus.com/pages/publications/84901594117

U2 - 10.1016/j.asej.2013.12.012

DO - 10.1016/j.asej.2013.12.012

M3 - Article

AN - SCOPUS:84901594117

SN - 2090-4479

VL - 5

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EP - 629

JO - Ain Shams Engineering Journal

JF - Ain Shams Engineering Journal

IS - 2

ER -

Numerical approximation for HIV infection of CD4+ T cells mathematical model

Abstract

UN SDGs

Keywords

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