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。
拉普拉斯方程(Laplace's equation) 定义(搜狗百度) 拉普拉斯方程 又名调和方程、位势方程,是一种偏微分方程。因为由法国数学家拉普拉斯首先提出而得名。求解拉普拉斯方程是电磁学、天文学和流体力学等领域经常遇到的一类重要的数学问题,因为这种方程以势函数的形式描写了电场、引力场和流场等物理对象(一般... ...
^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/ ...
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...
Laplaces Equation In subject area: Mathematics The Laplace's equation translates the relation existing between the pressure PC which one must apply so that the fluid penetrates in a capillary of radius R. The capillary pressure is the difference in pressure through a surface separating two non-mis...
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 c...
Lucas Gasparino (2024).LaplaceSolver(https://www.mathworks.com/matlabcentral/fileexchange/55155-laplacesolver), MATLAB Central File Exchange. RetrievedFebruary 10, 2024. TagsAdd Tags finitedifferenceslaplaceequationpde Cancel Others Also Downloaded ...
a new form of expression for the young-laplace equation is proposed. 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 litera
Keywords:Finite Element Method;Fortran;Laplace equation 【利用有限元法求解Laplace方程】相关文章: 四阶龙格库塔法求解波导模之间的模式耦合方程03-07 定态薛定谔方程的MATLAB求解(一)03-07 二分法求解单变量非线性方程及其应用与实现03-12 有限元法在折叠纸盒强度分析中的应用03-17 ...
The output of the matrix will also come in a matrix of the same dimension. Suppose we want to find the inverse Laplace transform of a polynomial, and we don’t want to write the whole equation in Matlab. In that case, we can write the polynomial coefficients of numerator and denominator...