In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ2) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained ...

It is known that the radial equation of the massless fields with spin around Kerr black holes cannot be solved by special functions. Recently, the analytic solution was obtained by use of the expansion in terms of the special functions and various astrophysical application have been discussed. It was pointed out that the coefficients of the expansion by the confluent hypergeometric functions ar...

Gravitational collapse in (n+2) dimensional quasi-spherical space-time is studied for a fluid with non vanishing radial pressure. An exact analytic solution is obtained (ignoring the arbitrary integration function) for the equation of state pr = (γ − 1)ρ. The singularity is studied locally by comparing the time of formation of apparent horizon and the central shell focusing singularity while th...

This paper is devoted to a complete classiication of the radial singular and possibly sign changing solutions of a semilinear elliptic equation with critical or subcritical growth.

This paper is devoted to a complete classiication of the radial singular and possibly sign changing solutions of a semilinear elliptic equation with critical or subcritical growth.

In nonrelativistic quantum mechanics, we require that the free and interacting Hamiltonians be related by a unitary transformation, as has been done other authors. We then derive stationary perturbation theory for radial Schrödinger equation scattering from spherically symmetric potential. A resulting advantage over more commonly used Green function method is expression state vector normalized ...