Functional-differential equations for Fq-transforms of q-Gaussians

Solving a Class of Partial Differential Equations by Differential Transforms Method

‎In this work, we find the differential transforms of the functions $tan$ and‎ ‎$sec$‎, ‎and then we applied this transform on a class of partial differential equations involving $tan$ and‎ ‎$sec$‎.

An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions

In the present paper, a numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions. This method is a combination of collocation method and radial basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic equatio...

Numerical Solution of Volterra-Fredholm Integral Equations with The Help of Inverse and Direct Discrete Fuzzy Transforms and Collocation Technique

Functional-differential equations for the q-Fourier transform of q-Gaussians

In the paper the question Is the q-Fourier transform of a qGaussian a q ′ -Gaussian (with some q ′ ) up to a constant factor? is studied for the whole range of q ∈ (−∞, 3). This question is connected with applicability of the q-Fourier transform in the study of limit processes in nonextensive statistical mechanics. We prove that the answer is affirmative if and only if q ≥ 1, excluding two part...

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.