论文标题
修改DJ方法:应用于BousSinesQ方程
Modified DJ method: Application to Boussinesq equation
论文作者
论文摘要
在本文中,我们提出了DJ方法的修改[J。数学。肛门。应用。 316(2006),753-763]更有效地求解非线性方程。可以观察到修改的DJ方法更快,因此与旧的DJ方法相比,它加速了收敛速率。我们使用这种新方法来找到BousSinesQ方程的分析解决方案。将报告的结果与确切的解决方案进行了比较。此外,我们将解决方案中的绝对误差与其他迭代方法中的绝对误差进行了比较。观察到,与其他方法相比,所呈现的方法很简单,并且生成更准确的解决方案。
In this paper we present a modification of DJ Method [J. Math. Anal. Appl. 316 (2006), 753-763] to solve the nonlinear equations more efficiently. It is observed that the modified DJ method is faster and hence it has accelerated convergence rate as compared to the old one. We use this new method to find the analytical solutions of Boussinesq equation. The reported results are compared with the exact solutions. Further, we compare the absolute error in our solution with those in other iterative methods. It is observed that the presented method is simple and generates more accurate solutions as compared with other methods.