Calculating the matrix exponential of a constant matrix on time scales

Zafer, Ağacık
We propose a method which simplifies the main result obtained in [A. Zafer, The exponential of a constant matrix on time scales, ANZIAM J. 48 (2006) 99-106] to calculate the matrix exponential of a constant matrix on a time scale.


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For arbitrary values of n and l quantum numbers, we present a simple exact analytical solution of the D-dimensional (D a parts per thousand yen 2) hyperradial Schrodinger equation with the Kratzer and the modified Kratzer potentials within the framework of the exact quantization rule (EQR) method. The exact bound state energy eigenvalues (E (nl) ) are easily calculated from this EQR method. The corresponding normalized hyperradial wave functions (psi (nl) (r)) are also calculated. The exact energy eigenvalu...
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In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential equation with the fundamental solutions of the Laplace equation where the definition of interior nodes is not necessary for the solution on the boundary. DRBEM constitutes a promising tool to characterize such problems due to the fact that the boundary conditions on part or all...
Citation Formats
A. Zafer, “Calculating the matrix exponential of a constant matrix on time scales,” APPLIED MATHEMATICS LETTERS, pp. 612–616, 2008, Accessed: 00, 2020. [Online]. Available: