Finite-Difference Methods
Higher-Order Cartesian Grid Based Finite Difference Methods for Elliptic Equations on Irregular Domains and Interface Problems and their Applications
... higher-order finite difference methods for solving elliptic equations on irregular domains with general boundary conditions and the correspond- ing elliptic interface ...order methods for two ...
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Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
... of finite difference methods to complicated, irregular, and sometimes continuously growing domains is not ...that finite element methods can be applied easily to complicated domains and ...
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Finite difference methods for computing eigenvalues of fourth order boundary value problems
... Central difference formula, Finite difference methods, Generalized symmetric eigenvalue problem, Positive definite matrix, Two-point boundary value problem.. INTRODUCT ION We shall consi[r] ...
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Water hammer simulation by explicit central finite difference methods in staggered grids
... explicit finite difference solutions of water hammer and their comparison with the largely established solutions of MOC and ...implemented finite difference methods are fast, accurate ...
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Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
... Finite difference methods (FDMs) are independent of time and space steps. This feature allows for setting different grid sizes with a unique time step, thus increasing the accuracy with respect to ...
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Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... Seidel finite difference methods of solution are applied to a two dimensional second order linear elliptic partial differential equation with specified boundary ...
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Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... We use the shifted left Grünwald formula and the standard right Grünwald formula to approximate the left and right Riemann–Liouville fractional derivatives, respectively; we present an implicit Euler method and a CN ...
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Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
... A New Fourth-Order Finite Difference Method for Computing Eigenvalues of Fourth-Order Two-Point Boundary Value Problem, IMA Journal of Numerical Analysis, 1983 291-293.. Discrete Approxi[r] ...
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Finite difference methods with application to the cavity problem
... Given the mesh transformations for the problem under consideration, the solution scheme follows the basic pattern laid down in §3 .4 except that 1 the original graded meshes are picked b[r] ...
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The Finite Difference Methods for –Nonlinear Klein Gordon Equation
... implicit finite difference method (FIFDM) and exponential finite difference method (ExpFDM) and we found that both methods can solve this kind of problems, example showed that fully ...
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A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables
... the methods of CTCS, Crank-Nicolson, ω and characteristics were analyzed to solve numerically the homogeneous wave Equation (2) satisfying (3) and ...These methods were applied for specific values of c , L ...
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A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions
... The other type of approach to avoid storage of the exponentials of matrices is a compact implicit integration factor (cIIF) method [11]. By introducing the compact representation for the matrix approximating the ...
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Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... The properties of the continuous PML model have been studied extensively and are well documented. The original split field PML proposed by Berenger involved a nonphysical splitting of Maxwell’s equations resulting in ...
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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... To demonstrate the applicability of the method we have applied it to three linear singular perturbation problems with left-end boundary layer and three linear singular perturbation problems with right-end boundary layer. ...
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Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers
... We have presented a novel interpolation-spreading procedure in the context of immersed- boundary type methods. The global algorithm follows the ideas originally introduced by Peskin [1], and lately extended to ...
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Approximation of the Huxley equation with nonstandard finite-difference scheme
... exact finite-difference scheme for the Huxley equation is presented based on the nonstandard finite-difference (NSFD) ...available methods, to verify the accuracy and efficiency of the NSFD ...
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Numerical Study of Fisher’s Equation by Finite Difference Schemes
... implicit finite difference scheme, which is Crank ...central finite difference approximation for both time and space derivatives at the point ( x t m , n ) ...
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The finite difference time domain method for computational electromagnetics
... FDTD Method for Computational Electromagnetics Chapter 3: Review of Available FDTD Software Packages Chapter 3: Review of Available FDTD Software Package 3.1 Software development in FDTD[r] ...
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Finite difference schemes for incompressible flows in vorticity formulations
... dierence methods in vorticity formulation using local vorticity boundary condition: what makes them work? how to make them work in 3D and how to make simple 4th order ...volume methods which are more suited ...
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Finite difference approach to the valuation and prepayment strategy of mortgages
... advantage of the lower interest rate. The borrower can leverage on the choice of prepayment to optimize his portfolio so that a maximum possible return can be made in statistical sense giv- en the knowledge of the ...
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