Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method
In this paper, the homotopy analysis method (HAM) is implemented to give approximate and analytical solutions for the Klein–Gordon equation. The auxiliary parameter ℏ in the HAM solutions has provided a convenient way of controlling the convergent region of series solutions. This problem shows rapid...
| Main Authors: | A.K. Alomari, Mohd Salmi Md Noorani, Roslinda Mohd Nazar |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit ukm
2008
|
| Online Access: | http://journalarticle.ukm.my/1850/ http://journalarticle.ukm.my/1850/1/JQMA4%281%29-04-alomari-drk.pdf |
Similar Items
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)
Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
Stability of standing waves for the Klein–Gordon–Hartree equation
by: Zhang, J., et al.
Published: (2015)
by: Zhang, J., et al.
Published: (2015)
Instability of Standing Wave for the Klein–Gordon–Hartree Equation
by: Li, X., et al.
Published: (2014)
by: Li, X., et al.
Published: (2014)
Semi analytical iterative method for solving Klein-Gordon equation / Mat Salim Selamat ... [et al.]
by: Selamat, Mat Salim, et al.
Published: (2020)
by: Selamat, Mat Salim, et al.
Published: (2020)
An approximation to the solution of hyperbolic equation by homotopy analysis method
by: Ismail, Siti Hajar
Published: (2018)
by: Ismail, Siti Hajar
Published: (2018)
Numerical solution of fractional diffusion wave equation and fractional klein–gordon equation via two-dimensional genocchi polynomials with a ritz–galerkin method
by: Kanwal, Afshan, et al.
Published: (2018)
by: Kanwal, Afshan, et al.
Published: (2018)
Vortex dynamics in the Ginzburg-Landau and Maxwell-Klein-Gordon models with pinning
by: Wileman, Paul
Published: (2021)
by: Wileman, Paul
Published: (2021)
Fixed point theorem based solvability of 2-dimensional dissipative cubic nonlinear Klein-Gordon equation
by: Md. Asaduzzaman, et al.
Published: (2020)
by: Md. Asaduzzaman, et al.
Published: (2020)
Application of optimal homotopy asymptotic method for the
approximate solution of riccati equation
by: Fazle Mabood,, et al.
Published: (2013)
by: Fazle Mabood,, et al.
Published: (2013)
The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods
by: Kadem, Abdelouahab, et al.
Published: (2012)
by: Kadem, Abdelouahab, et al.
Published: (2012)
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)
Topological symmetry breaking of self-interacting fractional Klein–Gordon field theories on toroidal spacetime
by: Lim, S C, et al.
Published: (2008)
by: Lim, S C, et al.
Published: (2008)
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)
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)
Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions
by: Eab, C. H., et al.
Published: (2007)
by: Eab, C. H., et al.
Published: (2007)
Analytical-approximate solution of Abel integral equations
by: Yaghobifar, Mohammad, et al.
Published: (2011)
by: Yaghobifar, Mohammad, et al.
Published: (2011)
Approximate-analytic solution of hyperchaotic finance system by multistage approach
by: Rangkuti, Y.M., et al.
Published: (2022)
by: Rangkuti, Y.M., et al.
Published: (2022)
Analytic treatment of differential equations by
modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)
Analytic treatment of differential equations by modified homotopy perturbation method
by: Chowdhury, M.S.H., et al.
Published: (2012)
by: Chowdhury, M.S.H., et al.
Published: (2012)
Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods
by: Norhasimah Mahiddin,, et al.
Published: (2014)
by: Norhasimah Mahiddin,, et al.
Published: (2014)
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)
Analytical approximate solution of Carleman's equation by using Maclaurin series
by: Yaghobifar, Mohammad, et al.
Published: (2010)
by: Yaghobifar, Mohammad, et al.
Published: (2010)
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)
Solution of classical Lane-Emden equation by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
Approximate Analytical Methods For Solving Fredholm
Integral Equations
by: Taleb Almousa, Mohammad Salameh
Published: (2015)
by: Taleb Almousa, Mohammad Salameh
Published: (2015)
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)
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 solution for cauchy reaction-diffusion problems by homotopy perturbation method
by: M.S.H. Chowdhury,, et al.
Published: (2010)
by: M.S.H. Chowdhury,, 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)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)
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)
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2018)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2018)
Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order
by: Alkresheh, Hytham Awad Hamad
Published: (2017)
by: Alkresheh, Hytham Awad Hamad
Published: (2017)
Linear homotopy solution of nonlinear systems of equations in geodesy
by: Palancz, B., et al.
Published: (2010)
by: Palancz, B., et al.
Published: (2010)
An accurate solution to the nonlinear Lotka-Volterra equations by modified Homotopy Pertubation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2013)
by: Chowdhury, Md. Sazzad Hossien
Published: (2013)
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)
Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method
by: Asaduzzaman, Md., et al.
Published: (2024)
by: Asaduzzaman, Md., et al.
Published: (2024)
Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation
by: Domairry, G., et al.
Published: (2008)
by: Domairry, G., et al.
Published: (2008)
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)
Similar Items
-
Application of homotopy-perturbation method
to Klein–Gordon and sine-Gordon equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009) -
Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2019) -
Stability of standing waves for the Klein–Gordon–Hartree equation
by: Zhang, J., et al.
Published: (2015) -
Instability of Standing Wave for the Klein–Gordon–Hartree Equation
by: Li, X., et al.
Published: (2014) -
Semi analytical iterative method for solving Klein-Gordon equation / Mat Salim Selamat ... [et al.]
by: Selamat, Mat Salim, et al.
Published: (2020)