Power Series Solutions for Non-Linear PDE's

机译：非线性PDE的电源系列解决方案

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper describes an iterative method for searching power series solutions of a partial differential equation. Power series expansions considered have support in some convex cone of R~N . We do this by introducing a N-variables analog of the Newton polygon construction, used in the case of ordinary differential equations.

机译：本文介绍了一种搜索偏微分方程幂级数解的迭代方法。所考虑的幂级数展开在R〜N的某个凸锥中具有支撑。为此，我们引入了牛顿多边形构造的N变量模拟，用于常微分方程。

著录项

来源
《International Symposium on Symbolic and Algebraic Computation Aug 3-6, 2003 Philadelphia, Pennsylvania, USA》|2003年|p.15-22|共8页
会议地点 Philadelphia PA(US);Philadelphia PA(US)
作者
F. Aroca; J. Cano; F. Jung;
展开▼
作者单位

IMATE Cuernavaca UNAM Apartado Postal 273-3, CP 62251, Cuernavaca, Morelos, Mexico;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类 O2;
关键词
fractional power series solutions; PDE's; newton polyhedron;

机译：分数次幂级数解决方案； PDE；牛顿多面体;

相似文献

外文文献
中文文献
专利

1. Series solutions with convergence-control parameter for three highly non-linear PDEs: KdV, Kawahara and Gardner equations [J] . M. D. Manshadi, E. Roohi, F. R. Marzabadi, Applied mathematical sciences . 2011,第21a24期

机译：具有收敛控制参数的三个高度非线性PDE的级数解：KdV，Kawahara和Gardner方程
2. On the summability of divergent power series solutions for certain first-order linear PDEs [J] . Masaki Hibino Opuscula Mathematica . 2015,第5期

机译：某些一阶线性PDE的发散幂级数解的可加性
3. Power Series Solution for Strongly Non-linear Conservative Oscillators [J] . Mazen I.Qaisi 机械工程与自动化：英文版 . 2019,第002期

机译：强非线性保守振荡器的幂级数解决方案
4. Power series solutions for non-linear PDE's [C] . F. Aroca, J. Cano, F. Jung International symposium on Symbolic and algebraic computation . 2003

机译：非线性PDE的幂级数解决方案
5. Power series solutions of fractional differential equations and symbolic derivatives and integrals. [D] . Benghorbal, Mhenni M. 2004

机译：分数阶微分方程和符号导数与积分的幂级数解。
6. Non-Linear Diffusion and Power Law Properties of Heterogeneous Systems: Application to Financial Time Series [O] . Miguel A. Fuentes 2018

机译：异构系统的非线性扩散和电力法性能：金融时间序列的应用
7. On the summability of divergent power series solutions for certain first-order linear PDEs [O] . Masaki Hibino 2015

机译：关于某些一阶线性偏微分方程的发散幂级数解的可推导性
8. Unsteady Solution of Non-Linear Differential Equations Using Walsh Function Series. [R] . Gnoffo, P. A. 2015

机译：基于Walsh函数级数的非线性微分方程的非定常解。

Power Series Solutions for Non-Linear PDE's

摘要

著录项

相似文献

相关主题

期刊订阅