Modified Variational Iteration Method for the Solution of a Class of Differential Equations

M.O Olayiwola; F.O Akinpelu; A.W Gbolagade

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Modified Variational Iteration Method for the Solution of a Class of Differential Equations

机译：一类微分方程解的修正变分迭代法

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In this paper, a Modified Variational Iteration Method (MVIM) for the solution of a differential equation of Bratu-type is presented. The method converges to the exact solution after an iteration. This shows that the method is efficient for this class of initial and boundary value problems.

机译：本文提出了一种解决布拉图型微分方程的改进变分迭代法（MVIM）。迭代后，该方法收敛到精确解。这表明该方法对于此类初始值和边值问题是有效的。

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《American Journal of Computational and Applied Mathematics》 |2012年第5期|共4页
作者
M.O Olayiwola; F.O Akinpelu; A.W Gbolagade;
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中图分类计算数学;
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1. The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [J] . Mehmet Tarik Atay, Okan Kilic Mathematical Problems in Engineering . 2013,第pta4期

机译：变分迭代法和修正变分迭代法对常微分方程刚性系统的半解析解与精确解的比较
2. The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [J] . Mehmet TarikAtay, OkanKilic Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第6期

机译：变分迭代法和修正变分迭代法求解常微分方程刚性系统的半解析解与精确解的比较
3. The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [J] . Mehmet TarikAtay, OkanKilic Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第2期

机译：变分迭代法和修正变分迭代法求解常微分方程刚性系统的半解析解与精确解的比较
4. The numerical solutions for stiff ordinary differential equations by using interpolated variational iteration method with comparison to exact solutions [C] . Cihan Ciftci, Hatice Sinem Sas Cayci, Mehmet Tarik Atay, International Conference of Numerical Analysis and Applied Mathematics . 2018

机译：与精确解决方案相比，使用内插改性方法使用插值变分迭代方法来实现常规差分方程的数值解
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
6. Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations [O] . Fukang Yin, Junqiang Song, Hongze Leng, -1

机译：分数阶微分方程的变分迭代法和分数阶勒让德函数法对
7. The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [O] . Mehmet Tarik Atay, Okan Kilic 2013

机译：通过使用变分迭代方法和改进的变分迭代方法与精确解决方案的变分迭代方法，对常微分方程刚性系统的半显态解

Modified Variational Iteration Method for the Solution of a Class of Differential Equations

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