用Haar小波配点法数值解一般Emden-Fowler方程

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED International Journal of Computer Mathematics Pub Date : 2023-07-21 DOI:10.1080/00207160.2023.2239948

Ashisha Kumar, P. Goswami

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引用次数: 0

摘要

本文用Haar小波配点法研究了一般Emden-Fowler方程的数值解。这种方法将微分方程转化为非线性方程组。再用牛顿法求解这些方程，得到哈尔系数，最后利用这些系数求出问题的解。我们举了许多五阶和六阶方程的例子，并在这些例子上实现了我们的方法。图中显示了分辨率为L = 3的解的效率和我们的方法的最大绝对误差。误差表很好地说明了这种方法的准确性。

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Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method

This paper deals with the numerical solution of the general Emden–Fowler equation using the Haar wavelet collocation method. This method transforms the differential equation into a system of nonlinear equations. These equations are further solved by Newton's method to obtain the Haar coefficients, and finally the solution to the problem is acquired using these coefficients. We have taken many examples of fifth- and sixth-order equations and implemented our method on those examples. The graphs show the efficiency of the solution for resolution L = 3 and the maximum absolute error of our approach. The error tables give a good picture of the accuracy of this approach.

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来源期刊

International Journal of Computer Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

5 months

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