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Asymptotic iteration method for eigenvalue problems
Journal of Physics A Mathematical and General · 2003 · Vol. 36(47) · pp. 11807–11816
Hakan Çiftçi✉(Gazi University)Richard L. Hall(Concordia University)Nasser Saad(University of Prince Edward Island)
Abstract
An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y'' = lambda(x) y' + s(x) y is introduced, where lambda(x) \neq 0 and s(x) are C-infinity functions. Applications to Schroedinger type problems, including some with highly singular potentials, are presented.
Matrix Theory and AlgorithmsNumerical methods for differential equationsElectromagnetic Scattering and AnalysisEigenvalues and eigenvectorsMathematicsHomogeneousApplied mathematicsOrder (exchange)Type (biology)Differential equationHomogeneous differential equationMathematical analysisOrdinary differential equation
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References
Coupling constant analyticity for the anharmonic oscillator
Annals of Physics · 1970 · 690 citations
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