Exact solution for linear and nonlinear systems of PDEs by homotopy-perturbation method
In this paper, the homotopy-perturbation method (HPM)proposed by J.-H. He is adopted for solving linear and nonlinear systems of partial differential equations (PDEs). In this method, a homotopy parameter p, which takes the values from 0 to 1, is introduced. When p = 0, the system of equations usua...
| Main Authors: | Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Ismail, Ahmad Faris, Rahman, M. M., Momani, Shaher Mohammad |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
INSI Publications
2011
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/19547/ http://irep.iium.edu.my/19547/1/Exact_Solution_for_Linear_and_Nonlinear_Systems_of_Pdes_by_Homotopy-Perturbation_Method.pdf |
Similar Items
Exact solution for linear and nonlinear systems of PDEs by Homotopy-Perturbation method.
by: Chowdhury, M.S.H., et al.
Published: (2011)
by: Chowdhury, M.S.H., et al.
Published: (2011)
Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)
Homotopy-perturbation method for direct solution of nonlinear initial value problem
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
Application of multistage homotopy perturbation method to the chaotic Genesio System
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
Direct solution of second-order BVPs by homotopy-perturbation method (Penyelesaian Secara Langsung MNS Berperingkat-Dua Melalui Kaedah Homotopi-usikan)
by: Abdulaziz, O., et al.
Published: (2009)
by: Abdulaziz, O., et al.
Published: (2009)
On the numerical solution of linear stiff IVPs by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)
Homotopy-perturbation solution of the isothermal gas sphetres
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Solutions of Emden–Fowler equations by homotopy-perturbation
methods
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
Application of multistage homotopy-perturbation method for the solutions of the Chen system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
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)
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)
by: Hashim, Ishak, et al.
Published: (2008)
A modified homotopy perturbation method for purely nonlinear fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Application of homotopy-perturbation method to nonlinear population dynamics models
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
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)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)
Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)
Solution of classical Lane-Emden equation by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
Solutions of a class of singular second-order IVPs by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Solutions of time-dependent Emden–Fowler type equations
by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Application of multistage homotopy perturbation method to the chaotic Genesio system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)
An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)
Solving variational problems by homotopy–perturbation method
by: Abdulaziz, O., et al.
Published: (2008)
by: Abdulaziz, O., et al.
Published: (2008)
Homotopy-perturbation method for power-law fin-type problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Homotopy-perturbation method applied to system of ordinary differential equations (ODEs)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Application of homotopy-perturbation method
to Klein–Gordon and sine-Gordon equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)
Homotopy perturbation method for solving perturbation problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2014)
by: Chowdhury, Md. Sazzad Hossien
Published: (2014)
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)
by: Chowdhury, Md. Sazzad Hossien
Published: (2011)
Simulation of the predator-prey problem by the homotopy-perturbation method revised
by: Chowdhury, Md. Sazzad Hossien
Published: (2008)
by: Chowdhury, Md. Sazzad Hossien
Published: (2008)
Solutions of higher order boundary value problems by homotopy perturbation method
by: Razali, Nur Isnida, et al.
Published: (2016)
by: Razali, Nur Isnida, et al.
Published: (2016)
Application of homotopy-perturbation method to the time-dependent singular initial value problems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
A reliable modification of the homotopy perturbation method for differential and integral equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien, et al.
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: (2016)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2016)
An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)
Homotopy-perturbation method for heat transfer equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
by: Chowdhury, Md. Sazzad Hossien
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien
Published: (2010)
Similar Items
-
Exact solution for linear and nonlinear systems of PDEs by Homotopy-Perturbation method.
by: Chowdhury, M.S.H., et al.
Published: (2011) -
Analytical treatment of system of linear and nonlinear PDEs by Homotopy-Perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010) -
Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015) -
Homotopy-perturbation method for direct solution of nonlinear initial value problem
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007) -
The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)