Numerical solution of Laplace equation in a disk using the Adomian decomposition method

Tatari M; Dehghan M

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Numerical solution of Laplace equation in a disk using the Adomian decomposition method

机译：用Adomian分解法求解磁盘中Laplace方程的数值解。

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摘要

We present a numerical method for solving the Laplace equation with given boundary condition by applying the decomposition procedure of Adomian on an integral equation that results from the reformation of the main problem. The Adomian decomposition method is useful for obtaining both analytical solutions and numerical approximations of various kinds of problems. Numerical results are reported and a comparison with some other existing methods are done.

机译：我们提出了一种在给定边界条件下求解Laplace方程的数值方法，方法是将Adomian的分解过程应用于由主要问题改造而来的积分方程上。 Adomian分解方法可用于获得各种问题的解析解和数值近似。报告了数值结果，并与其他一些现有方法进行了比较。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2005年第5期|共4页
作者
Tatari M; Dehghan M;
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正文语种 eng
中图分类物理学;
关键词
SOLITARY WAVE SOLUTIONS; KDV EQUATION; BOUNDARY SPECIFICATIONS; PARABOLIC EQUATION; INTEGRAL-EQUATIONS; NOISE TERMS;

机译：孤波解决方案;KDV方程;边界规范;抛物线方程;积分方程;噪声项;

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1. Numerical solution of Laplace equation in a disk using the Adomian decomposition method [J] . Tatari M, Dehghan M Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2005,第5期

机译：用Adomian分解法求解磁盘中Laplace方程的数值解。
2. Numerical solution of the Laplace equation in annulus by Adomian decomposition method [J] . Memarbashi R Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第1期

机译：用Adomian分解法求解环形拉普拉斯方程。
3. Numerical solution of the Laplace equation in annulus by Adomian decomposition method [J] . Memarbashi R Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2008,第1期

机译：用Adomian分解法求解环形拉普拉斯方程。
4. Application of the Laplace Adomian decomposition method for solution system of delay differential equations with initial value problem [C] . Hamood. M. Yousef, A. I. B. MD. Ismail National Symposium on Mathematical Sciences . 2018

机译：Laplace Adomian分解方法在初始值问题延迟微分方程溶液系统中的应用
5. Some experiments in the solution of the Laplace equation by numerical methods [D] . Backens, Vern W. -1

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6. Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [O] . Rasool Shah, Hassan Khan, Muhammad Arif, 2019

机译：拉普拉斯 - adomian分解方法在三阶分散分数偏微分方程分析解的应用
7. New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations [O] . Mohamed Z. Mohamed, Tarig M. Elzaki, Mohamed S. Algolam, 2021

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Numerical solution of Laplace equation in a disk using the Adomian decomposition method

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