The fractionalspace and time, as ageneralization of telegraph, diffusion and the waveequations, are considered. The (direct case and the modified cases) of Adomiandecompositionmethod are adopted to treat the certain space-time fractional partial differentialequations, in thispaper, four distinguished cases willbemodified and applied to solvedifferent certain space-timefractionalorder (homogeneo...

The Hartree-Fock approximation is of central importance to quantum chemistry. The assumption of electrons interacting with each other through a mean field sim;>lifiesthe electronic structure problem considerably, and provides the starting point for almost all approaches. However,it is curious to note that even this simplifying assumption was not sufficient to make electronic structue calculatio...

The purpose of this paper is to study the fuzzy fractional differentialequations. We prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. Fuzzy derivative is considerin the Goetschel-Voxman sense and fractional derivative is consider in theRiemann Liouville sense. At the end, we...

Traveltime computation is widely used in seismic modeling, imaging and velocity analysis. The two most commonly used methods are ray tracingand numerical solutions to the eikonal equation. Eikonal solvers are fast and robust, but are limited to computing only the first arrival traveltimes. Ray tracing can compute multiple arrivals, but lacks the robustness of eikonal solvers. Here, we propose a...

The aim of this paper is the analytical solutions the family of rst-order nonlinear stochastic differentialequations. We dene an integrating factor for the large class of special nonlinear stochasticdierential equations. With multiply both sides with the integrating factor, we introduce a deterministicdierential equation. The results showed the accuracy of the present work.

in this paper, a chebyshev finite difference method has been proposed in order to solvenonlinear two-point boundary value problems for second order nonlinear differentialequations. a problem arising from chemical reactor theory is then considered. the approachconsists of reducing the problem to a set of algebraic equations. this method can be regardedas a non-uniform finite difference scheme. t...

Adaptive Solution of Partial Differential Equations in Multiwavelet Bases B. Alpert,∗,1 G. Beylkin,†,2 D. Gines,† and L. Vozovoi‡,3,4,5 ∗National Institute of Standards and Technology, Boulder, Colorado 80305-3328; †Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309-0526; and ‡School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel E-mail: al...