implicit unconditionally stable method
Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
... average implicit finite difference scheme for the Rosenau-KdV equation and discuss the estimate for the difference ...proposed method in comparison with other methods in the ...
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Modeling the Interaction of Terahertz Pulse with Healthy Skin and Basal Cell Carcinoma Using the Unconditionally Stable Fundamental Adi-FDTD Method
... the unconditionally stable fundamental alternating-direction-implicit finite-difference time- domain (FADI-FDTD) method [15], where the time step is no longer restricted by the above CFL ...
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Efficient Excitation of Waveguides in Crank-Nicolson FDTD
... [1] method is one of the most widely used numerical techniques in computational ...employing unconditionally stable implicit FDTD methods, for which time and space steps can be independently ...
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Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3D Maxwell's Equations
... hybrid implicit-explicit (HIE) FDTD method [19–27] has been developed ...this method, the CFL constraint is not removed totally, but being weaker than that of conventional FDTD ...HIE-FDTD ...
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The equity option volatility smile
... an unconditionally stable finite-difference lattice consistent with the equity option volatility ...the method of forward induction on Arrow±Debreu securities to generate local instantaneous ...
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1701.07469.pdf
... fully implicit or explicit type schemes will induce quite severe stability conditions on the time step so they are not efficient in practice ...fully implicit discretization of the six-order polynomial term ...
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Stability and Dispersion Analysis for Three-Dimensional (3-D) Leapfrog Adi-FDTD Method
... ADI-FDTD method. The leapfrog ADI-FDTD method was reviewed and the implicit update equations ...ADI-FDTD method was reformulated in the form similar to conventional explicit FDTD method ...
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Full-Sweep SOR Iterative Method to Solve Space-Fractional Diffusion Equations
... FSSOR method [(Youssef, 2012), (Sun, 2005), (Starke et ...iterative method which is compared with the Full-Sweep Gauss-Seidel (FSGS) iterative method to solve Problem ...Caputo’s implicit ...
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Unconditionally Stable Leapfrog Adi-FDTD Method for Lossy Media
... an unconditionally stable leapfrog alternating-direction-implicit finite-difference time-domain (ADI- FDTD) method for lossy ...ADI-FDTD method in an anal- ogous manner as the ...
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Finite Difference Implicit Schemes to Coupled Two Dimension Reaction Diffusion System
... iterative method is used to solve this linear system, such scheme is of second order accuracy in both directions, space and time respectively [17] ...is unconditionally stable using the von Neumann ...
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Modeling of Wave Propagation in General Dispersive Materials with Efficient ADE -WLP-FDTD Method
... (FDTD) method has been widely used for electromagnetic modeling due to its easy implementation ...alternating-direction implicit (ADI) [2– 4] and locally one-dimensional (LOD) [5–7] methods, were ...an ...
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Appropriation of the ‘Witch’ Stigma as White Women's Self-Empowerment
... In this dissertation, we design first and second order schemes for temporal discretiza- tion based on the IEQ approach to solve the diffuse interface model problems with Peng-Robinson equation of state. Single-component ...
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An Unconditionally Monotone C2 Quartic Spline Method with Nonoscillation Derivatives
... DOI: 10.4236/apm.2018.81003 28 Advances in Pure Mathematics Figure 3. A good monotone interpolation g x ( ) should have no nonphysical oscillations in its slope space ( f x ( ) , x ) besides matching the given areas ...
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Study of UPML Absorbing Boundary Condition for the Five-Step LOD-FDTD Method
... Figure 1 shows the relative error of the three methods observed at CFLN = 1. Fig. 1 demonstrates that both LOD5UPML and conventional FDTDUPML have almost the same relative error and nearly − 15 dB smaller than the ...
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Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System
... ally stable, the unstable result occurs at a much later stage compared with the conventional NFDTD algorithm, which is a significant improvement in terms of late time ...
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An Unconditionally Stable Front End Low Noise Amplifier Design for 2 4 GHz ISM Band
... Transistor must be biased at appropriate operating point before used. So that, transistor can works under values required and achieve less power consumption. In this project, passive biasing method is adopted. The ...
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Highly Stable Super-Implicit Hybrid Methods for Special Second Order IVPs
... As [1] further noted, [12] claimed to have derived high order p-stable linear multi-step methods but their concept of p-stability is considerably different from that given in [14]. The work in [2] further stressed ...
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A Trapezoidal Like Integrator for the Numerical Solution of One Dimensional Time Dependent Schrödinger Equation
... the Method of Lines. In the Method of Lines approach to the solution of PDEs, the solution of the PDE is sought for in a finite domain with a time coordinate t and a spatial coordinate, ...
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An Implicit Extragradient Method for Hierarchical Variational Inequalities
... 18 Y. Yao, Y.-C. Liou, and J.-C. Yao, “An extragradient method for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, vol. 2007, Article ID 38752, 12 pages, 2007. ...
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Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non Linear Parabolic Differential Equation
... = ( k ≠ 1, c is any positive constant) (1.4) The outline of this paper is as follows. In §2, by using idea of methods of lines, we present the explicit difference approximation to (1.1). In §3 we study the truncation ...
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