Results 31 to 40 of about 200,025 (303)
Journal of Physics: Theories and Applications, 2018 The purpose of this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
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Finite difference method for time-space-fractional Schrödinger equation [PDF]
, 2015 In this paper, an implicit finite difference scheme for the nonlinear time-space-fractional Schrödinger equation is presented. It is shown that the implicit scheme is unconditionally stable with experimental convergence order of O(τ2−α+h2), where τ and h
Li, C., Liu, Q., Zeng, F.
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Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments
Entropy, 2023 A novel dimension splitting method is proposed for the efficient numerical simulation of a biochemotaxis model, which is a coupled system of chemotaxis–fluid equations and incompressible Navier–Stokes equations.
Xingying Zhou +3 more
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Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we construct a difference potentials method (DPM) based on the locally one-dimensional (LOD) technique to solve the two-dimensional nonlinear convection-diffusion interface problems. The advantage of using the LOD scheme is that the linear
Mahboubeh Tavakoli Tameh +1 more
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Hexagonal vs. Rectilinear Grids for Explicit Finite Difference Schemes for the Two-dimensional Wave Equation [PDF]
, 2013 Finite difference schemes for the 2-D wave equation operating on hexagonal grids and the accompanyingnumerical dispersion properties have received little attention in comparison to schemes operating on rectilinear grids.
Stefan Bilbao +3 more
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A tunable finite difference method for fractional differential equations with non-smooth solutions [PDF]
, 2017 In this work, a finite difference method of tunable accuracy for fractional differential equations (FDEs) with end-point singularities is developed. Modified weighted shifted Grünwald–Letnikov (WSGL) formulas are proposed to approximate the left and ...
Zeng, F., Karniadakis, G. E., Chen, X.
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Re-constructing the river bed using the streamline-generation method
MethodsXRiver bed reconstruction plays an essential part in supporting the hydrodynamic simulation and understanding the morphological processes of a river. The streamlines can be solved using Laplace equations.
Zohre Aghamolaei +1 more
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Finite-difference method for parameterized singularly perturbed problem
Journal of Applied Mathematics, 2004 We study uniform finite-difference method for solving first-order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution.
G. M. Amiraliyev +2 more
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An Extended Finite Difference Method for Singular Perturbation Problems on a Non-Uniform Mesh
International Journal of Applied Mechanics and Engineering, 2022 An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem.
D. Swarnakar +2 more
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FEBS Letters, EarlyView.The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
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