In this paper, we consider some initial-boundary value problems which contain one-dimensional heat equation in non-classical case. For this problem, we can not use the classical methods such as Fourier, Laplace transformation and Fourier-Birkhoff methods. Because the eigenvalues of their spectral problems are not strictly and they are repeated or we have no eigenvalue. The presentation of the s...

Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

Herein, fast Fourier transformation square-wave voltammetry (FFT-SWV) as a novel electrochemical determination technique was used to investigate the electrochemical behavior and determination of Riboflavin at the surface of a nanocomposite modified carbon paste electrode. The carbon paste electrode was modified by nanocomposite containing Samarium oxide (Sm2O3)/reduced gra...

This paper presents a fast “two-dimensional Fourier continuation” (2D-FC) method for construction of biperiodic extensions smooth nonperiodic functions defined over general two-dimensional domains. The approach, which runs at cost (\mathcalO(N?og N)\) operations an $N$-point discretization grid, can be directly generalized to domains any given dimensionality, but such generalizations are not co...