Solving linear system of partial differential equations by homotopy-pertubation method

QR Code

Solving linear system of partial differential equations by homotopy-pertubation method

In this paper, the homotopy-perturbation method (HPM) is employed to obtain approximate analytical solution to the linear systems of partial differential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms, and in linear cases, yields exact solutions. Compa...

Full description

Bibliographic Details
Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris
Format:	Proceeding Paper
Language:	English
Published:	2009
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/9340/ http://irep.iium.edu.my/9340/1/solving_linear_system_of_partial_differential_equations_by_homotopy-pertubation_method.pdf

Similar Items

Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2016)

An accurate solution to the nonlinear Lotka-Volterra equations by modified Homotopy Pertubation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2013)

Homotopy-perturbation method applied to system of ordinary differential equations (ODEs)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

A reliable modification of the homotopy perturbation method for differential and integral equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

Solutions of Emden–Fowler equations by homotopy-perturbation methods
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Solving variational problems by homotopy–perturbation method
by: Abdulaziz, O., et al.
Published: (2008)

Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
by: Chowdhury, Md. Sazzad Hossien
Published: (2011)

Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)

Application of homotopy-perturbation method to Klein–Gordon and sine-Gordon equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Solution of classical Lane-Emden equation by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)

An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)

Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2017)

On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)

An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)

Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)

Assessment of decomposition method for linear and nonlinear fractional differential equations
by: Abdulaziz, O., et al.
Published: (2007)

Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Homotopy-perturbation method for heat transfer equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)

Application of multistage homotopy-perturbation method for the solutions of the Chen system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Analytical solution of the fin problem by extended homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Solving Nonlinear Algebraic Problem Using Newton Homotopy Differential Equation
by: Hasan, Talib Hashim, et al.
Published: (2011)

Homotopy-perturbation method for direct solution of nonlinear initial value problem
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)

Taylor -Fixed point homotopy for solving nonlinear algebraic problems
by: Hasan, Talib Hashim, et al.
Published: (2010)

Homotopy-perturbation method for power-law fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Application of homotopy-perturbation method to the time-dependent singular initial value problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

A modified homotopy perturbation method for purely nonlinear fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Solutions of a class of singular second-order IVPs by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model
by: Hashim, Ishak, et al.
Published: (2008)

Simulation of the predator-prey problem by the homotopy-perturbation method revised
by: Chowdhury, Md. Sazzad Hossien
Published: (2008)

Homotopy-perturbation solution of the isothermal gas sphetres
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

Application of homotopy-perturbation method to nonlinear population dynamics models
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
by: Chowdhury, Md. Sazzad Hossien
Published: (2010)

The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Homotopy perturbation method for solving perturbation problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2014)