the young-laplace equation is developed in a convenient polar coordinate system and programmed in matlab?. the profile generated showed to be in agreement with those reported in literature. an algorithm that avoids profile interpolation was developed and tested for the measurement of surface tension ...
不规则区域上Laplace方程基本解方法的MATLAB实现 The Method of Fundamental Solutions for Laplace Equation on Irregular Domain by Using MATLAB 本文借助基本解方法通过MATLAB编程实现了二维不规则区域上Laplace方程的无网格数值求解,数值实验的结果表明了该方法的可行性和精确性. In this paper, Laplace equation on ...
Differential Equations and Linear Algebra, 7.4: Laplace Equation From the series: Differential Equations and Linear Algebra Gilbert Strang, Massachusetts Institute of Technology (MIT) The partial differential equation ∂2u/∂x2 + ∂2u/∂y2 = 0 describes temperature distribution inside a ci...
一种用数值方法求解用MATLAB编写的拉普拉斯方程的有限差分方案。 拉普拉斯方程是二阶椭圆PDE,这是亥姆霍兹方程的特例。 可以使用变量分离来解析解决。 拉普拉斯方程可用于对达到平衡的势能和现象进行建模。 电动力学 拉普拉斯方程可用于模拟静电,流体力学和重力问题。
不规则区域上Laplace方程基本解方法的MATLAB实现
Equation (B4.3.2) is written in the form appropriate for solution of hi,j byGauss-Seidel point iteration where heads are updated to the next iteration level as they are computed. Note that the head in each FD cell is equal to the average of the heads in the four neighboring cells and...
thyron001 / Bidimensional_Laplace_Equation Star 2 Code Issues Pull requests Grapher software able to show the distribution of Electric potential in a two dimensional surface, by solving the Laplace equation with a discrete method. This project has been developed in MatLab and it´s tool, App...
Uses Central Differences for solving Laplace's Equation. The script TriDiagMake creates the A tridiagonal matrix of tridiagonal matrices B and -I. The program then creates vector b with the specified boundary conditions and solves the system Au=b. Post proessing is done in the last section, ...
Laplace transforms, Ordinary differential equation (ODE), MATLAB Abstract Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very sim...
^唯一性定理 https://en.wikipedia.org/wiki/Uniqueness_theorem_for_Poisson%27s_equation ^反函数及其微分 https://en.wikipedia.org/wiki/Inverse_functions_and_differentiation ^The Poisson Equation in Image & Shape Processing https://www.cs.jhu.edu/~misha/Fall07/ ...