finite difference numerical method
Rigorous analysis of numerical methods: a comparative study
... propagation method was first applied to optoelectronics in 1980 (Feit and Fleck 1980) and the solutions for the optical waveguides can be made to generate mode- related properties such as propagation constants, ...
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Numerical Verification of Transition’s Energies of Excitons in Quantum Well of ZnO with the Finite Difference Method
... First, we will present the results of experimental measurements of transition energies of excitons in ZnO quantum well. Then, we propose an one-dimensional model of potential barrier which describes the electronic ...
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Numerical Investigation by the Finite Difference Method of the Laser Hardening Process Applied to AISI 4340
... ABAQUS finite element program as laws of user-defined materials for a calculation that couples temperature distribution and phase development during heating and cooling ...a numerical model that included ...
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Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method
... of finite difference method for solving an ordinary differential equation is to transform a calcu- lus problem to an algebra problem ...the finite-difference methods consist of two ...
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Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... by numerical methods, such as the finite difference method or the finite element method, is dependent on the particular ab- sorbing boundary condition used to truncate the ...
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A Parameter-Uniform Essentially First Order Convergent Fitted Mesh Method for a Singularly Perturbed Robin Problem
... classical finite difference discretisation, to construct a numerical method for solving this ...the numerical approximations obtained with this method are essentially first order ...
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On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... collocation method is used for solving the space fractional differential ...the finite difference and Legendre collocation schemes. The numerical results obtained by this method have ...
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Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method
... Many numerical methods have been studied such as the Legendre wavelets method [4], the Haar functions method [5,6], the linearization method [7], the finite difference ...
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Two Dimensional (2D) Slope Stability Analysis A review
... traditional method of slope stability is the limit equilibrium method (LEM) where a factor of safety (FOS) is calculated to predict the stability of ...using numerical methods like finite ...
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High speed computing of ice thickness equation for ice sheet model
... The aim of this paper is to discretize the ice thickness equation of the model using the explicit finite difference method and performed the numerical calculation by using CUDA on GPU platform ...
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Population based algorithms for approximate optimal distributed control of wave equations
... a numerical method for solving wave equations (finite difference method), an effective numerical scheme for finding approximate optimal control and state functions has been ...
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A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation
... We have used the Newton-Raphson iteration method to compute the values (7) and (8) in all above examples. All computations in the experiment were performed on MS Window 2007 professional operating system in the ...
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Numerical Study of Fisher’s Equation by Finite Difference Schemes
... perturbation method and found an approximate solution by expanding the solution in terms of a power series and in terms of some small parameters [5], whereas numerical solution found by Gazdag and Canosa ...
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Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow
... direct numerical simulation method suitable for supercritical carbon dioxide jet flow has been discussed in this ...accurate finite difference compact schemes based on non-uniform grid system ...
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Numerical dynamics of a nonstandard finite difference θ method for a red blood cell survival model
... solve numerical solutions or approximate solutions of system ...NSFD-θ method, we obtain general results. Our results show the NSFD-θ method could inherit the Hopf bifurcation and the asymptotically ...
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ZZ Fourth Order Compact BVM for the Equation of Lateral Heat Loss
... paper, numerical solutions of the one dimensional linear equation of lateral heat loss are derived using Finite Difference Method (FDM) and ZZ Fourth Order Compact Method ...Compact ...
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Parallel FDTD Electromagnetic Simulation of Dispersive Plasmonic Nanostructures and Opal Photonic Crystals in the Optical Frequency Range
... the numerical simulation is needed for solving almost all the problems of the real life, for design- ing new devices, measure the electromagnetic field inside the objects over which an electromagnetic radiation ...
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Chelyshkov Tau Approach for Solving Bagley Torvik Equation
... Several numerical and analytical methods of Equation (1) were considered by many authors, such as finite difference method [3], collocation method based on Müntz polynomials [4], Tau ...
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Numerical Modeling for Transmission Dynamics of Hepatitis B Virus Disease
... Non-Standard Finite Difference (NSFD) structurefor a mathematical model of ...introduce numerical array is bounded, dynamically designate and contain the positivity of the solution, which is one of ...
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Simulation and Numerical Modeling of a Rectangular Patch Antenna Using Finite Difference Time Domain (FDTD) Method
... we proposed to apply the FDTD method to modeling a rectangular patch antenna whose dimensionsare shown in Figure2 [5]. So we are interested to resolving 12 equations concerning field components variation that are ...
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