...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied mathematics and computation >Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method
【24h】

Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method

机译：用Adomian分解法求解线性和非线性抛物型和双曲型偏微分方程的非局部初边值问题。

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

In this paper, we present a new approach to solve nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations subject to initial and nonlocal boundary conditions of integral type. We first transform the given nonlocal initial-boundary value problems of integral type for the linear and nonlinear parabolic and hyperbolic partial differential equations into local Dirichlet initial-boundary value problems, and then use a relatively new modified Adomian decomposition method (ADM). Furthermore we investigate the Fourier–Adomian method, which also does not require any a priori assumptions on the solution, for the solution of nonlocal initialboundary value problems combined with our new approach. Several examples are presented to demonstrate the efficiency of the ADM.
机译：在本文中，我们提出了一种新的方法来求解线性和非线性抛物线和双曲型偏微分方程的非局部初边值问题，这些条件受整数型初始和非局部边界条件的约束。我们首先将线性和非线性抛物线和双曲型偏微分方程的给定积分类型的非局部初边值问题转换为局部Dirichlet初边值问题，然后使用相对较新的改进的Adomian分解方法（ADM）。此外，我们结合新方法研究了非局部初始边界值问题的傅里叶-阿多米安方法，该方法也不需要对该解决方案进行任何先验假设。列举了几个例子来证明ADM的效率。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号