compact finite difference
A Reduced High-order Compact Finite Difference Scheme Based on Proper Orthogonal Decomposition for the Generalized Kuramoto-Sivashinsky Equation
... high-order compact finite difference scheme (CFDS) has widely been paid attention and imple- mented for numerical simulation of various types of partial differential ...
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Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template
... This paper presents efforts to improve the boundary efficiency and accu- racy of a compact finite difference scheme, based on its composite template. Unlike precursory attempts the current ...
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A Compact Finite Difference Method for Solving the General Rosenau–RLW Equation
... Abstract—In this paper, a compact finite difference method to solve the Rosenau–RLW equation is proposed. A numerical tool is applied to the model by using a three–level average implicit ...
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Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... fourth-order compact dif- ference scheme, in which the Crank–Nicolson scheme is used for temporal discretiza- tion and a fourth-order compact finite difference scheme dealing with a one-dimensional ...
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A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... The compact scheme amongst the various finite-difference replacements of convection-diffusion problems ...high-order compact difference schemes depict more accurate solution values on quasi-variable meshes as ...
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A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions
... a compact implicit integration factor (cIIF) method ...the compact representation for the matrix approximating the differential operator, the compact IIF methods apply ma- trix exponential operations ...
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A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
... This paper is organized as follows. In Section , a nonlinear and conservative difference scheme for the GRRLW equation is constructed, and the discrete conservative laws of the difference scheme are discussed. The unique ...
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Numerical solution of the Falkner Skan equation using third order and high order compact finite difference schemes
... high-order-compact finite differences ...implicit compact- difference (fourth-order) formulations on a semi-infinite domain; to our knowledge this is the first time that high-order ...
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An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... the compact finite difference scheme (CFDS), which has been widely used in numerical solution of various types of par- tial differential ...sixth-order compact finite difference in space (CFDS6) by the ...
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Research and application of compact finite difference method of low reaction diffusion equation
... using compact operator, the paper constructs a higher-order finite difference ...the difference solution by matrix method and analyzes the stability and convergence of the scheme by Fourier ...
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A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations
... amplitude, α and σ are real parameters. Equations (1) and (2) were considered as a model of the inter- actions between short and intermediate long waves, and were originated in describing the dynamics of Langmuir soliton ...
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Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation
... Restrictive Pade Approximation (RPA) for parabolic Partial Differential Equation (PDE) and Partial Difference Equations is a new technique done by İsmail and Elbar- bary [1]. In addition, they studied numerical ...
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Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion
... A compact finite difference scheme comprises of adjacent point stencils of which differences are taken at the middle node, therefore typically 3, 9 and 27 nodes are used for compact ...
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Implementation of boundary conditions for optimized high order compact schemes
... Introduction The seven-point stencil high-order central compact finite difference schemes for e\,?luation of the first derivatives on interior nodes were optimized in the wavenumber doma[r] ...
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Rigorous analysis of numerical methods: a comparative study
... work, Finite Element Method and Finite Difference Time Domain Method based on Maxwell’s equations were used to simulate optical waveguides and directional ...
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An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate Chemistry
... A local meshless collocation method based on the finite difference approach is the RBFs-FD method. The RBF-FD idea has been developed in [15, 25, 26, 51, 59, 62]. Authors of [24] developed a filter approach ...
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Some new finite difference inequalities arising in the theory of difference equations
... Motivated by the work mentioned above, in this paper, we will establish some more generalized finite difference inequalities, which provide new bounds for unknown func- tions lying in these inequalities. We ...
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Packing measures, packing dimensions, and the existence of sets of positive finite measure
... for compact sets in Euclidean spaces, is an important tool in the study of Hausdorff dimension, see, ...a compact metric space without this property, Larman [LaD] found a class of “finite ...
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FACTORS AFFECTING THE MECHANICAL PROPERTIES OF COMPACT BONE AND MINIATURE SPECIMEN TEST TECHNIQUES: A REVIEW
... of compact bone in the major support bones, ...[8]. Compact bone is also notch sensitive and the presence of surface cracks significantly reduces the energy absorbed during fracture for both lon- gitudinal ...
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Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation
... a finite-difference setting, PDEs in finite-differ- ence [7,8] and finite-element settings [9], minimizing energy functionals associated with Ginzburg-Landau models in ...
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