Finite difference method

The paper generalizes one practical tool for analyzing the structural dynamics for the high-speed railway bridge based on Cast3M open-source. Compared with the classical approach with the analytical formulation, KD-Railway developed by the finite element method allows defining the structure with complex geometry and considering a different type of structure (truss, cable, hybrid composite) or the structure-soil interaction.

10p viengfa 28-10-2024 2 1   Download

Wood, an environmentally friendly construction material, is characterized by a critical attribute that significantly influences its mechanical properties and durability: its moisture absorption behavior. This study expands upon an existing one-dimensional model to develop an innovative two-dimensional numerical framework for simulating moisture propagation within wood.

15p vibecca 01-10-2024 2 0   Download

In this study, we investigated one of the most popular stochastic volatility pricing models, the Heston model, for European options. This paper deals with the implementation of a finite difference scheme to solve a two-dimensional partial differential equation form of the Heston model.

14p vibecca 01-10-2024 4 1   Download

The main aim of this work is to use a finite element method (FEM) based on Shi’s third-order shear deformation plate theory (TSDT) to study the dynamic response of sandwich plates subjected to consecutive blast loading. The sandwich plate has an auxetic honeycomb core and two different functionally graded materials (FGMs) skin layers (so-called h-FGS plates).

14p viyoko 01-10-2024 2 1   Download

In this study, it is split into two main steps. First, an analytical design is proposed to define the desired parameters with affects of different flux air gaps. Then, a finite element approach is developed to simulate inductances, leakage and fringing fluxes, magnetic flux density and electromagnetic force with different flux air gaps.

6p viyoko 01-10-2024 2 1   Download

The paper presents a method of controlling thermal cracks by splitting concrete placement horizontally into layers at different levels of a structure, based on the finite element analysis.

7p viyoko 24-09-2024 1 0   Download

This study proposes a novel and efficient surrogate model for performing truss analysis based on graph theory and deep learning algorithms, which is applicable for various truss topologies with different load scenarios without requiring retraining as other Deep Learning (DL)-based counterparts.

11p vifaye 20-09-2024 4 1   Download

Trong nghiên cứu này, bài viết áp dụng phương pháp sai phân hữu hạn (Finite Differences Method - FDM) để tính toán mô phỏng phân bố áp suất của màng dầu bôi trơn khi bơm bánh răng hoạt động ở chế độ hỗn hợp.

3p vigeorge 06-12-2023 7 3   Download

In this paper, the author uses the forced displacement method combined with the finite element method to study the free vibration of the bar with different boundary conditions with considering the influence of the shear strain, the theory used here is the full beam theory.

10p visherylsandber 04-07-2022 19 3   Download

Objectives: The aim of the thesis is to develop Mickens’ methodology to construct NSFD methods for solving some important classes of differential equations arising in fields of science and technology.

26p extraenglish 24-05-2021 20 3   Download

Although the research direction on NSFD schemes for differential equations have achieved a lot ofresults shown by both quantity and quality of existing research works, real-world situations have always posednew complex problems in both qualitative study and numerical simulation aspects. On the other hand, there aremany differential models that have been established completely in the qualitative aspect but their correspondingdynamically consistent discrete models have not yet been proposed and studied

26p capheviahe29 17-03-2021 26 4   Download

Bài toán tính xấp xỉ phương trình đạo hàm riêng xuất hiện nhiều trong khoa học và kỹ thuật. Hiện nay có nhiều phương pháp phổ biến giải bài toán này như: phương pháp Sai phân hữu hạn (FD-Finite Difference), phương pháp Phần tử hữu hạn (FEM-Finite Element Method), phương pháp Phần tử biên (BEM-Boundary Element Method), phương pháp Thể tích hữu hạn (FVM-Finite Volume Method). Mời các bạn cùng tham khảo bài viết để nắm chi tiết nghiên cứu thuật toán chọn K-láng giềng gần với 2 điều kiện dừng cho phương pháp RBF-FD giải phương trình poisson trong 2D.

6p quenchua9 20-11-2020 27 2   Download

In the paper we present a method for finding the weight vector called stencil with the help of RBF interpolation. This stencil is the foundation for constructing meshless finite difference scheme for boundary value problems. The results of numerical experiments show that the numerical solution obtained by RBF-FD with the stencils generated by Gauss RBF interpolation is much more accurate then the solution obtained by FEM.

4p cumeo2425 02-07-2018 22 1   Download

In this paper, finite difference schemes are proposed to approximate solutions of stochastic advection-diffusion equations. We used central-difference formula of third-order to approximate spatial derivatives. The stability, consistency and convergence of the scheme are analysed and established. A numerical result is also given to demonstrate the computational efficiency of the stochastic schemes.

9p tieuthi3006 16-03-2018 55 1   Download

Bài giảng Applied numerical methods (Ứng dụng phương pháp tính số) - Chương 5: Vi phân và tích phân. Nội dung cụ thể trong chương này: Lấy vi phân các hàm giải tích, lấy vi phân các hàm rời rạc, sai phân xác định và đạo hàm bậc hai (Finite differences and second order derivatives), phương pháp Newton và phương pháp Simpson, phương pháp Monte-Carlo. Tích phân nhiều chiều.

15p whocare_d 22-09-2016 75 9   Download

MONOTONE FINITE DIFFERENCE DOMAIN DECOMPOSITION ALGORITHMS AND APPLICATIONS TO NONLINEAR SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS IGOR BOGLAEV AND MATTHEW HARDY Received 16 September 2004; Revised 21 December 2004; Accepted 11 January 2005 This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types. Monotone domain decomposition algorithms based on a Schwarz alternating method and on box-domain decomposition are constructed.

38p sting12 10-03-2012 52 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation

12p sting10 07-03-2012 38 4   Download