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Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach
Complexity ( IF 1.7 ) Pub Date : 2021-07-17 , DOI: 10.1155/2021/5805433
Hualing Wu 1 , Rohul Amin 2 , Asmatullah Khan 2 , Shah Nazir 3 , Sultan Ahmad 4
Affiliation  

In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function. By substituting collocation points and applying the Haar collocation technique to system of delay integral equations, we have obtained a linear system of equations. For the solution of this system, an algorithm is developed in MATLAB software. The method of Gauss elimination is utilized for the solution of this system. Finally, by using these coefficients, the solution at collocation points is obtained. The convergence of Haar technique is checked on some test problems.

中文翻译:

Haar小波搭配法求解异构数据通信中的时滞积分方程组

在这项工作中,Haar配置方案被用于异构数据通信的延迟积分方程组系统的求解。Haar 函数被考虑用于对未知函数的逼近。通过代入搭配点,将Haar搭配技术应用于时滞积分方程组,我们得到了一个线性方程组。针对该系统的求解,在MATLAB软件中开发了一种算法。该系统的求解采用高斯消元法。最后,通过使用这些系数,得到搭配点处的解。在一些测试问题上检验了 Haar 技术的收敛性。
更新日期:2021-07-18
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