基于点阵法的非线性方程数值解的改进括号法

Bawar Mohammed Faraj, Shnyar Karim Rahman, Deni Adnan Mohammed, Bahadin Muhammad Hussein, Berivan Azad Salam, Khadijah Mohammed
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引用次数: 3

摘要

本文主要研究非线性方程的数值解。对Ridders方法进行了讨论。提出了一种改进的Ridders方法,将平分法与newton Raphson方法相结合。提出了该方法的一种算法。最后,通过实例验证了该方法的有效性和适用性。Matlab程序涉及的数值计算。该方法对实例进行了应用。误差分析表给出了得到的数值结果。用Matlab程序求得的数值解在精度上有较好的效果。
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AN IMPROVED BRACKETING METHOD FOR NUMERICAL SOLUTION OF NONLINEAR EQUATIONS BASED ON RIDDERS METHOD
In the present study numerical solution for non linear equations have been studied. Ridders methodd have been discussed. An improvement of Ridders method with combination of Bisection and newton Raphson methods have been presented. An algorithm for the proposed method have been stated. Moreover, several examples are included to demonstrate the validity and applicability of the presented technique. Matlab program involved for numerical computations. The proposed method applied for given examples. The error analysis table presents the obtained numerical results. The numerical solutions which found by Matlab program has good results in terms of accuracy.
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