Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods

Physica Scripta

Volumn 77, Issue 2, 2008, Pages

  Belendez A ^a   Pascual, C ^a   Fernandez E ^a   Neipp, C ^a   Belendez T ^a  

^a UNIVERSITY OF ALICANTE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; HARMONIC ANALYSIS; HELIUM; KETONES; LINEAR EQUATIONS; LINEAR SYSTEMS; OSCILLATORS (ELECTRONIC); OSCILLATORS (MECHANICAL); PERTURBATION TECHNIQUES; POLYNOMIAL APPROXIMATION; SOLUTIONS;

APPROXIMATE FORMULAS; APPROXIMATE SOLUTIONS; EXACT SOLUTIONS; FIRST ORDER APPROXIMATE SOLUTION; HARMONIC BALANCE METHOD (HBM); HARMONIC OSCILLATORS; HARMONIC OSCILLATORS (HO); HIGH ACCURACY; HIGHER ORDER; HIGHER-ORDER ANALYTICAL APPROXIMATE SOLUTIONS; HOMOTOPY METHODS; HOMOTOPY PERTURBATION METHOD (HPM); INFINITE SERIES; LARGE AMPLITUDES; LIMITING CASES; LINEAR DIFFERENTIAL EQUATIONS; MODIFIED HOMOTOPY PERTURBATION METHOD; OSCILLATION AMPLITUDES; PERIODIC SOLUTIONS; RELATIVE ERROR (RE); SECOND ORDERS;

NUMERICAL METHODS;

EID: 38949209076     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/77/02/025004     Document Type: Article

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