Solution of non-linear Klein-Gordan equation with a quadratic non-linear term by adomian decomposition method

• Autorzy: Basak K. Ch. , Ray P. Ch. , Bera R. K.
• Języki publikacji: EN

Abstrakty

EN

Nonlinear PDEs are systematically solved by the decomposition method of Adomian for general boundary conditions described by boundary operator equations. In the present case, the solution of the nonlinear Klein-Gordon equation has been considered as an illustration of the decomposition method of Adomian.

Słowa kluczowe

EN

Klein-Gordon; nonlinear PDE; Adomian decomposition method (ADM)

PL

równanie Kleina-Gordona; równania różniczkowe cząstkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 3
• Strony: 891--897
• Opis fizyczny: Bibliogr. 13 poz., tab.

Twórcy

autor

Basak K. Ch.

autor

Ray P. Ch.

autor

Bera R. K.

• Government College of Engineering and Leather Technology Block-LB, Sector-III Salt Lake City, Kolkata-700098, INDIA,

Bibliografia

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• Adomian G. (1986): Nonlinear Stochastic Operator Equations. - Academic Press.
• Adomian G. (1986): A new approach to heat equation - an application of decomposition method. - Jr. Math. Anal. Appl., vol.113, No.1, pp.202-209.
• Adomian G. (1994): Solving Frontier Problems of Physics. - The Decomposition Method, Kluwer.
• Adomian G. and Cherruault Y. (1993): Decomposition method: A new proof of convergence. - Math. Comput. Modelling, vol.18, No.12, pp.103-106.
• Cherruault Y. (1989): Convergency of Adomian method. - Kybernets, vol.18, No.2, pp.31-39.
• Cherruault Y. (1992): Convergency of Adomian method. - Math. Comput. Model, vol.16, pp.85-93.
• Cherruault Y., Saccomandi G. and Some B. (1992): New results for convergence of Adomian's method applied to integral equations. - Math. Comput. Modelling, vol.16, No.2, pp.85-93.
• Datta B.K. (1989): A new approach to the wave equation - an application to the decomposition method. - Jr. Math. Anal. Appl., vol.142, No.1, pp.6-12.
• Datta B K. (1990): A technique for approximate solution to Schrodinger like equation. - Comput. Math Appl., vol.20, No.1, pp.61-66.
• Datta B.K. (1993): Approximate evaluation of certain integrals. - Comput. Math. Appl., vol.25, No.7, pp.47-49.
• Kaya D. and Aassila M. (2002): An application for a generalized KdV equation by the decomposition method. - Phys. Lett. A, vol.299, No.2-3, pp.201-206.
• Schiff L.I. (1951): Nonlinear meson theory of nuclear forces. I. Neutral scalar mesons with point-contact repulsion. - Phys. Rev., vol.84, No.1, pp.1-9.