Some solutions of the linear and nonlinear Klein–Gordon equations using the optimal homotopy asymptotic method

We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein–Gordon equations with boundary conditions. The results reveal that the m...

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Veröffentlicht in:	Applied mathematics and computation 2010-07, Vol.216 (10), p.2898-2909
Hauptverfasser:	Iqbal, S., Idrees, M., Siddiqui, A.M., Ansari, A.R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Boundary conditions Exact sciences and technology Klein-Gordon equation Klein–Gordon equations Mathematical analysis Mathematical models Mathematics Nonlinear algebraic and transcendental equations Nonlinearity Numerical analysis Numerical analysis. Scientific computation Optimal homotopy asymptotic method Optimization Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	We investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM) in solving time dependent partial differential equations. To this effect we consider the homogeneous, non-homogeneous, linear and nonlinear Klein–Gordon equations with boundary conditions. The results reveal that the method is explicit, effective, and easy to use.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.04.001