Abstract We establish an exact formulation for wave scattering of a massless field with spin and charge by Kerr–Newman–de Sitter black hole. Our is based on the solution Teukolsky equation in terms local Heun function, does not require any approximation. It serves as simple formulae arbitrary high precision, which realize fast calculation without restrictions model parameters. highlight several...

In this work, we study the Klein–Gordon oscillator with equal scalar and vector potentials in a topologically charged Ellis–Bronnikov wormhole space-time background. The behaviour of relativistic field is studied position-dependent mass via transformation [Formula: see text] potential through minimal substitution wave equation. Simplifying equation for three different types potential, such as l...

We discuss a many-body Hamiltonian with twoand three-body interactions in two dimensions introduced recently by Murthy, Bhaduri and Sen. Apart from an analysis of some exact solutions in the many-body system, we analyze in detail the two-body problem which is completely solvable. We show that the solution of the two-body problem reduces to solving a known differential equation due to Heun. We s...

For linear Hamiltonian 2n×2n systems Jy?(x)=(?W(x)+H(x))y(x) we investigate the problem how eigenvalues ? depend on entries of coefficient matrix H. This question turns into a deformation equation for H and partial differential ?. We apply our results to various examples, including generalizations confluent Heun Chandrasekhar-Page angular equation. are mainly concerned with 2×2 case, in order r...

The singularity structure of a second-order ordinary differential equation with polynomial coefficients often yields the type solution. It is shown that $\theta$-operator method can be used as symbolic computational approach to obtain indicial and recurrence relation. Consequently, leads transformations yield solution in terms special function, if suitable. Hypergeometric Heun-type equations ar...

In a recent paper published in this Journal, Khordad and Sedehi (J Low Temp Phys 190(3):200, 2018) have studied the thermodynamic properties of GaAs double ring-shaped quantum dot under external magnetic electric fields. that meritorious research energy system was obtained by solving Schrödinger equation. The radial equation mapped into confluent hypergeometric differential associated to z coor...

Penelitian ini bertujuan untuk menyelesaikan model SEIR penyebaran penyakit meningitis menggunakan metode Euler, Heun dan Runge-Kutta orde empat, dimana persamaannya berupa persamaan diferensial nonlinear. Metode penelitian yang digunakan adalah pemrograman komputer simulasi. Dari simulasi, ketiga tersebut menghasilkan penyelesaian dengan perilaku mirip, yaitu semua gambar grafik pada setiap si...

We seek numerical methods for second-order stochastic differential equations that reproduce the stationary density accurately for all values of damping. A complete analysis is possible for scalar linear second-order equations (damped harmonic oscillators with additive noise), where the statistics are Gaussian and can be calculated exactly in the continuous-time and discrete-time cases. A matrix...