Analytical solution of the Klein-Gordon equation by a new homotopy perturbation method

DOI10.1007/s10598-013-9213-yzbMath1327.81185OpenAlexW2045122651MaRDI QIDQ895154

Mostafa Eslami, Jafar Biazar

Publication date: 26 November 2015

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-013-9213-y

zbMATH Keywords

Klein-Gordon equationnew homotopy perturbation method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (1)

Investigating the solutions of two classical nonlinear oscillators by the AG method

Cites Work

• A new homotopy perturbation method for solving systems of partial differential equations
• He's homotopy perturbation method for systems of integro-differential equations
• Homotopy-perturbation method for pure nonlinear differential equation
• Homotopy perturbation method for solving sixth-order boundary value problems
• Application of homotopy perturbation method for solving eighth-order boundary value problems
• Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• A decomposition method for solving the nonlinear Klein-Gordon equation
• A new method for solving the hyperbolic telegraph equation
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
• The modified decomposition method for analytic treatment of differential equations
• Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

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