In this paper, an operational matrix of integration based on Haar wavelets (HW) is introduced, and a procedure for applying the matrix to solve space and time fractional telegraph equations is formulated. The space and time fractional derivatives are considered in the Caputo sense. The accuracy and effectiveness of the proposed method is demonstrated by the five test problems. Approximate solut...

As MOS transistors are scaled down, the impact of randomly placed discrete charge (impurity atoms, traps and surface states) on device characteristics rapidly increases. Significant variability caused by random dopant fluctuation (RDF) is a direct result of this, which urges the adoption of new device architectures (ultra-thin body SOI FETs and FinFETs) which do not use impurity for body doping...

We present a new method based on unification of fictitious time integration (FTI) and group preserving (GP) methods. The GP is applied in numerically discretized ordinary differential equations obtained from application FTI to given partial equation (PDE). algorithm hyperbolic telegraph utilizes the Cayley transformation Pade approximations Minkowski space. It avoid...

A complete conservation law classification is given for nonlinear telegraph (NLT) systems with respect to multipliers that are functions of independent and dependent variables. It turns out that a very large class of NLT systems admits four nontrivial local conservation laws. The results of this work are summarized in tables which display all multipliers, fluxes and densities for the correspond...

Con uence of orthogonal rewriting systems can be proved using the Finite Developments Theorem. We present, in a general setting, several adaptations of this proof method for obtaining con uence of `not quite' orthogonal systems.