报告题目：一类延迟微分方程的哈尔小波数值解研究

(Numerical Solution of a Class of Delay Differential and

Delay Partial Differential Equations via Haar Wavelet) 

时  间：6月20 日上午，10:00-11:00

地  点：文理楼254学术报告厅

报告专家： Rohul Amin

专家简介：Rohul Amin, 白沙瓦大学数学系讲师，应用数学博士。主要研究领域：延迟微分方程和分数阶延迟微分方程及其小波配置方法。

报告内容：

本报告主要讲述利用哈尔小波配置法求解几类延迟微分方程的数值解。这些方程有线性和非线性延迟微分方程、延迟微分方程组、时间延迟的延迟偏微分方程。报告提出了这几类方程的小波配置方法，给出了数值实验，对近似解和真解进行了比较，并展示了近似解的最大模误差和收敛阶。数值实验验证了小波配置方法求解延迟微分方程的适用性和有效性

( 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 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 and efficient).

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