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Numerical solution of a class of delay differential and delay partial differential equations via Haar wavelet

机译:一类时滞微分方程和时滞偏微分方程的Haar小波数值解

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摘要

In this paper, Haar wavelet collocation method is applied to obtain the numerical solution of a particular class of delay differential equations. The method is applied to linear and nonlinear delay differential equations as well as systems involving these delay differential equations. In addition to this the method is also extended to numerical solution of delay partial differential equations with delay in time. The method is applied to several benchmark test problems. The numerical results are compared with the exact solutions and the performance of the method is demonstrated by calculating the maximum absolute errors and experimental rates of convergence using different numbers of collocation points. The numerical results show that the method is simply applicable, accurate, efficient and robust.
机译:本文采用Haar小波配置方法获得一类特殊的时滞微分方程的数值解。该方法适用于线性和非线性延迟微分方程以及涉及这些延迟微分方程的系统。除此之外,该方法还扩展到具有时滞的时滞偏微分方程的数值解。该方法适用于几个基准测试问题。将数值结果与精确解进行比较,并通过使用不同数量的搭配点计算最大绝对误差和实验收敛速度,证明了该方法的性能。数值结果表明,该方法简单,适用,准确,高效,鲁棒。

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