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Wavelet-optimized compact finite difference method for convection–diffusion equations
International Journal of Nonlinear Sciences and Numerical Simulation, 2020Abstract In this article, compact finite difference approximations for first and second derivatives on the non-uniform grid are discussed. The construction of diffusion wavelets using compact finite difference approximation is presented.
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Two‐dimensional compact finite difference immersed boundary method
International Journal for Numerical Methods in Fluids, 2011AbstractWe present a compact finite differences method for the calculation of two‐dimensional viscous flows in biological fluid dynamics applications. This is achieved by using body‐forces that allow for the imposition of boundary conditions in an immersed moving boundary that does not coincide with the computational grid.
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Compact finite difference method for integro-differential equations
Applied Mathematics and Computation, 2006The paper is concerned with developing a method for the approximate solution of (Fredholm) integro-differential equations. The authors remark that the method proposed can also be applied to Volterra equations. The starting point is a compact finite difference scheme for the second order derivatives.
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Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method
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Compact fourth-order finite difference method for solving differential equations
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