منابع مشابه
On 1D Schrödinger problems allowing polynomial solutions
We discuss the explicit construction of the Schrödinger equations admitting representation through some family of general polynomials. Almost all solvable quantum potentials are shown to be generated by this approach. Some generalization has been performed also in higher dimensional problems. PACS numbers: 03.65.-w, 03.65.Ge, 03.65.Ca, 02.90.+p Published in Journal of Physics A: Mathematical an...
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We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. Numerical method of sixth-order with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications ...
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Abstract. This paper presents a set of complete solutions to a class of polynomial optimization problems. By using the so-called sequential canonical dual transformation developed in the author’s recent book [Gao, D.Y. (2000), Duality Principles in Nonconvex Systems: Theory, Method and Applications, Kluwer Academic Publishers, Dordrecht/Boston/London, xviii + 454 pp], the nonconvex polynomials ...
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we present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. numerical method of sixth-order with end conditions of the order 6 is derived. the convergence analysis of the method has been discussed. numerical examples are presented to illustra...
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ژورنال
عنوان ژورنال: International Journal of Robust and Nonlinear Control
سال: 1994
ISSN: 1049-8923,1099-1239
DOI: 10.1002/rnc.4590040302