Pseudospectral methods for solving an equation of hypergeometric type with a perturbation

Alici, H.
Taşeli, Hasan
Almost all, regular or singular, Sturm-Liouville eigenvalue problems in the Schrodinger form


Monotone positive solutions for a class of second-order nonlinear differential equations
Ertem, T.; Zafer, Ağacık (Elsevier BV, 2014-03-15)
It is shown that the second-order nonlinear differential equation
Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over 0 < x < infinity
Taşeli, Hasan (Elsevier BV, 2004-03-01)
The eigenvalues of singular Sturm-Liouville problems defined over the semi-infinite positive real axis are examined on a truncated interval 0<x<l as functions of the boundary point l. As a basic theoretical result, it is shown that the eigenvalues of the truncated interval problems satisfying Dirichlet and Neumann boundary conditions provide, respectively, upper and lower bounds to the eigenvalues of the original problem. Moreover, the unperturbed system in a perturbation problem, where l remains sufficient...
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
Lefloch, Philippe G.; Okutmuştur, Baver; Neves, Wladimir (Springer Science and Business Media LLC, 2009-07-01)
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L (1)-error estimate for a class of finite volume schemes allowing for the approximation of entropy solutions to the initial value problem. The error in the L (1) norm is of order h (1/4) at most, where h represents the maximal diameter of elements in the family of geodesic triangulations. The proof relies on a suitable generalization of Cockburn, Coquel, and LeFloch's theo...
Holomorphic extension of meromorphic mappings along real analytic hypersurfaces
Yazıcı, Özcan (Springer Science and Business Media LLC, 2020-08-01)
Let M subset of C-n be a real analytic hypersurface, M' subset of C-N (N >= n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p is an element of M which is holomorphic in one side of M. Assuming some additional conditions for the mapping F on the hypersurface M, we proved that F has a holomorphic extension to p. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensi...
Approximate bound state solutions of Dirac equation with Hulthen potential including Coulomb-like tensor potential
IKHDAİR, SAMEER; Sever, Ramazan (Elsevier BV, 2010-04-01)
We solve the Dirac equation approximately for the attractive scalar S(r) and repulsive vector V(r) Hulthen potentials including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number kappa. In the framework of the spin and pseudospin symmetric concept, we obtain the analytic energy spectrum and the corresponding two-component upper-and lower-spinors of the two Dirac particles by means of the Nikiforov-Uvarov method in closed form. The limit of zero tensor coupling and the non-rela...
Citation Formats
H. Alici and H. Taşeli, “Pseudospectral methods for solving an equation of hypergeometric type with a perturbation,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 1140–1152, 2010, Accessed: 00, 2020. [Online]. Available: