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Finite Difference Method

Finite Difference Method for Solving the Initial Value Ordinary Differential Equations (ODE)

Finite Difference Method for Solving the Initial Value Ordinary Differential Equations (ODE)

... y(x )= y(x ) + ∫ f x, y(x) dx (2) That is obtained by integrating Equation (1) in the interval [x , x ] then the aim of the finite difference method is to approximate this integral more accurately. ...

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Numerical Solution for a FG Cylinder Problem Using Finite Difference Method

Numerical Solution for a FG Cylinder Problem Using Finite Difference Method

... The objective of this investigation is to generate dis- placement, stresses, temperature, and magnetic field in a FGM annular cylinder. Material properties of the present cylinder are assumed to be graded in the radial ...

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Comparative Study of 1 Dimensional Heat Transfer Problem by Finite Difference Method and Finite Element Method

Comparative Study of 1 Dimensional Heat Transfer Problem by Finite Difference Method and Finite Element Method

... of Finite Element method instead of numerical solutions we have gone for the Ansys workbench software, which gives us the more accurate results and also saves the lot of time since it solves the heat ...

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Finite Difference Method and Laplace Transform for Boundary Value Problems

Finite Difference Method and Laplace Transform for Boundary Value Problems

... article, Finite Difference Technique and Laplace transform are employed to solve two point boundary value ...in finite difference method to enhance the convergence of the method; ...

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A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations

A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations

... the finite element method has better approximations for the first problem compared to finite difference method for all the step-sizes that we ...small difference in the results ...

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Parallel computation of finite difference method for heat conduction in duct problem

Parallel computation of finite difference method for heat conduction in duct problem

... using finite difference method and since the heat transfer in curvature is different from straight duct, heat equation must to be transformed into modified polar ...the method used in parallel ...

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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

... special finite difference method for solving a singularly perturbed differential difference equation with layer behaviour at one end ...order method, we have used a second order ...

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Finite Difference Method For Solving Fuzzy Linear Boundary Value Problems

Finite Difference Method For Solving Fuzzy Linear Boundary Value Problems

... the Finite Difference method is considered to solve the nonhomogeneous for Second order fuzzy boundary value problems, In which the fuzziness appeared together in the boundary conditions and in the ...

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High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates

High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates

... A finite difference method was proposed to solve the parabolic equation in polar coordinates in ...compact difference scheme for the Helmholtz ...on finite difference ...

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A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants

A hybrid lattice Boltzmann and finite difference method for droplet dynamics with insoluble surfactants

... hybrid method to simulate interfacial flows with insoluble ...a finite difference method. The lattice Boltzmann and finite difference simulations are coupled through an equation ...

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A Finite Difference Method for Cylindrically Symmetric Electrostatics having Curvilinear Boundaries

A Finite Difference Method for Cylindrically Symmetric Electrostatics having Curvilinear Boundaries

... the finite difference method occur when a boundary does not lie on the mesh points in the overlaid meshpoint array but passes between ...the finite difference method has been ...

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Numerical Simulation in Electrocardiology Using
an Explicit Generalized Finite Difference Method

Numerical Simulation in Electrocardiology Using an Explicit Generalized Finite Difference Method

... meshless method differs to the best of our knowledge from other numerical approaches in the ...Generalized Finite Difference Method (GFDM) for spatial discretization of the PDE together with ...

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Finite Difference Method of Modelling Groundwater Flow

Finite Difference Method of Modelling Groundwater Flow

... are Finite Difference and Finite Element ap- proximation or a combination of both provided that model parameters and initial and boundary conditions are properly ...the finite ...

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A finite difference method for the smooth solution of linear Volterra integral equations

A finite difference method for the smooth solution of linear Volterra integral equations

... This paper is organized as follows: In section two, we briefly state some general results on the solvability and smoothness of the solution. In the third section, we fully describe our numerical scheme. In section four, ...

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The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test

The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test

... nodal method allowing irregular distribution of nodes in a natural way is one of the main advantages of the generalized finite difference method (GFDM) with regard to the classical ...

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A Logarithmic Finite Difference Method for Troesch’s Problem

A Logarithmic Finite Difference Method for Troesch’s Problem

... logarithmic finite difference method is derived for solving the Troesch’s ...The method is very simple and works well for arbitrarily large values of the Troesch’s ...proposed method, ...

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A new non-standard finite difference method for autonomous differential equations

A new non-standard finite difference method for autonomous differential equations

... Non-Standard Finite Difference Method (NSFDM) for the solution of autonomous Ordinary Differential Equations ...this method came up due to the shortcomings of the standard methods; in which ...

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Development of optical devices simulation software using finite difference method

Development of optical devices simulation software using finite difference method

... The main objective of this project is to develop simulation software using Visual C++ based on Finite Difference Method FDM to solve the Scalar Wave Equation in optical devices.. Other o[r] ...

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Calculation of finite difference method and differential
quadrature method for burgers equation

Calculation of finite difference method and differential quadrature method for burgers equation

... the Finite Difference Method (FDM) which is the simplest ...This method solved by replacing the values at certain grid points and approximates the derivatives by differences in these ...

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Finite difference method for numerical solution of a generalized burgers-huxley equation

Finite difference method for numerical solution of a generalized burgers-huxley equation

... iteration method, which are based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the ...quadrature method (DQM) by Sari and Gurarslan in [2]. DQM is ...

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